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Finding the Fourth Proportional to 10,888.48, 16,340 and 4,649.94

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Solution

The fourth proportional to 10,888.48, 16,340 and 4,649.94 is: 6,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,888.48 : 16,340 = 4,649.94 : x
  2. Step 2: Convert to fraction form
    10,888.48/16,340 = 4,649.94/x
  3. Step 3: Cross multiply
    10,888.48x = 16,340 × 4,649.94
  4. Step 4: Simplify right side
    10,888.48x = 75,980,019.60
  5. Step 5: Solve for x
    x = 75,980,019.60/10,888.48
  6. Step 6: Final answer
    x = 6,978.02

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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.