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Finding the Fourth Proportional to 10,752, 16,126.02 and 2,959.80

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Solution

The fourth proportional to 10,752, 16,126.02 and 2,959.80 is: 4,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752 : 16,126.02 = 2,959.80 : x
  2. Step 2: Convert to fraction form
    10,752/16,126.02 = 2,959.80/x
  3. Step 3: Cross multiply
    10,752x = 16,126.02 × 2,959.80
  4. Step 4: Simplify right side
    10,752x = 47,729,794.00
  5. Step 5: Solve for x
    x = 47,729,794.00/10,752
  6. Step 6: Final answer
    x = 4,439.15

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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.