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Finding the Fourth Proportional to 11,737.40, 17,606.07 and 6,472.17

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Solution

The fourth proportional to 11,737.40, 17,606.07 and 6,472.17 is: 9,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.40 : 17,606.07 = 6,472.17 : x
  2. Step 2: Convert to fraction form
    11,737.40/17,606.07 = 6,472.17/x
  3. Step 3: Cross multiply
    11,737.40x = 17,606.07 × 6,472.17
  4. Step 4: Simplify right side
    11,737.40x = 113,949,478.07
  5. Step 5: Solve for x
    x = 113,949,478.07/11,737.40
  6. Step 6: Final answer
    x = 9,708.24

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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.