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Finding the Fourth Proportional to 10,849,649.60, 16,264,106.40 and 4,024,395.20

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Solution

The fourth proportional to 10,849,649.60, 16,264,106.40 and 4,024,395.20 is: 6,032,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849,649.60 : 16,264,106.40 = 4,024,395.20 : x
  2. Step 2: Convert to fraction form
    10,849,649.60/16,264,106.40 = 4,024,395.20/x
  3. Step 3: Cross multiply
    10,849,649.60x = 16,264,106.40 × 4,024,395.20
  4. Step 4: Simplify right side
    10,849,649.60x = 65,453,191,728,449.28
  5. Step 5: Solve for x
    x = 65,453,191,728,449.28/10,849,649.60
  6. Step 6: Final answer
    x = 6,032,747.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.