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Finding the Fourth Proportional to 10,472.97, 14,439.23 and 8,577.57

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Solution

The fourth proportional to 10,472.97, 14,439.23 and 8,577.57 is: 11,826.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.97 : 14,439.23 = 8,577.57 : x
  2. Step 2: Convert to fraction form
    10,472.97/14,439.23 = 8,577.57/x
  3. Step 3: Cross multiply
    10,472.97x = 14,439.23 × 8,577.57
  4. Step 4: Simplify right side
    10,472.97x = 123,853,463.18
  5. Step 5: Solve for x
    x = 123,853,463.18/10,472.97
  6. Step 6: Final answer
    x = 11,826.01

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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.