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Finding the Fourth Proportional to 11,660.29, 17,474.81 and 6,387.32

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Solution

The fourth proportional to 11,660.29, 17,474.81 and 6,387.32 is: 9,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.29 : 17,474.81 = 6,387.32 : x
  2. Step 2: Convert to fraction form
    11,660.29/17,474.81 = 6,387.32/x
  3. Step 3: Cross multiply
    11,660.29x = 17,474.81 × 6,387.32
  4. Step 4: Simplify right side
    11,660.29x = 111,617,215.16
  5. Step 5: Solve for x
    x = 111,617,215.16/11,660.29
  6. Step 6: Final answer
    x = 9,572.42

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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.