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Finding the Fourth Proportional to 10,912.57, 15,061.31 and 6,436.06

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Solution

The fourth proportional to 10,912.57, 15,061.31 and 6,436.06 is: 8,882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.57 : 15,061.31 = 6,436.06 : x
  2. Step 2: Convert to fraction form
    10,912.57/15,061.31 = 6,436.06/x
  3. Step 3: Cross multiply
    10,912.57x = 15,061.31 × 6,436.06
  4. Step 4: Simplify right side
    10,912.57x = 96,935,494.84
  5. Step 5: Solve for x
    x = 96,935,494.84/10,912.57
  6. Step 6: Final answer
    x = 8,882.92

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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.