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Finding the Fourth Proportional to 10,517.86, 15,772.69 and 3,940.46

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Solution

The fourth proportional to 10,517.86, 15,772.69 and 3,940.46 is: 5,909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.86 : 15,772.69 = 3,940.46 : x
  2. Step 2: Convert to fraction form
    10,517.86/15,772.69 = 3,940.46/x
  3. Step 3: Cross multiply
    10,517.86x = 15,772.69 × 3,940.46
  4. Step 4: Simplify right side
    10,517.86x = 62,151,639.25
  5. Step 5: Solve for x
    x = 62,151,639.25/10,517.86
  6. Step 6: Final answer
    x = 5,909.15

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