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Finding the Fourth Proportional to 10,892.32, 15,029.07 and 6,414.43

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Solution

The fourth proportional to 10,892.32, 15,029.07 and 6,414.43 is: 8,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.32 : 15,029.07 = 6,414.43 : x
  2. Step 2: Convert to fraction form
    10,892.32/15,029.07 = 6,414.43/x
  3. Step 3: Cross multiply
    10,892.32x = 15,029.07 × 6,414.43
  4. Step 4: Simplify right side
    10,892.32x = 96,402,917.48
  5. Step 5: Solve for x
    x = 96,402,917.48/10,892.32
  6. Step 6: Final answer
    x = 8,850.54

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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.