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Finding the Fourth Proportional to 10,932.71, 15,083.24 and 6,454.22

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Solution

The fourth proportional to 10,932.71, 15,083.24 and 6,454.22 is: 8,904.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932.71 : 15,083.24 = 6,454.22 : x
  2. Step 2: Convert to fraction form
    10,932.71/15,083.24 = 6,454.22/x
  3. Step 3: Cross multiply
    10,932.71x = 15,083.24 × 6,454.22
  4. Step 4: Simplify right side
    10,932.71x = 97,350,441.59
  5. Step 5: Solve for x
    x = 97,350,441.59/10,932.71
  6. Step 6: Final answer
    x = 8,904.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.