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Finding the Fourth Proportional to 11,564.80, 17,355.30 and 7,414.90

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Solution

The fourth proportional to 11,564.80, 17,355.30 and 7,414.90 is: 11,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.80 : 17,355.30 = 7,414.90 : x
  2. Step 2: Convert to fraction form
    11,564.80/17,355.30 = 7,414.90/x
  3. Step 3: Cross multiply
    11,564.80x = 17,355.30 × 7,414.90
  4. Step 4: Simplify right side
    11,564.80x = 128,687,813.97
  5. Step 5: Solve for x
    x = 128,687,813.97/11,564.80
  6. Step 6: Final answer
    x = 11,127.54

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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.