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Finding the Fourth Proportional to 11,565.27, 17,331.30 and 7,180.20

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Solution

The fourth proportional to 11,565.27, 17,331.30 and 7,180.20 is: 10,759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.27 : 17,331.30 = 7,180.20 : x
  2. Step 2: Convert to fraction form
    11,565.27/17,331.30 = 7,180.20/x
  3. Step 3: Cross multiply
    11,565.27x = 17,331.30 × 7,180.20
  4. Step 4: Simplify right side
    11,565.27x = 124,442,200.26
  5. Step 5: Solve for x
    x = 124,442,200.26/11,565.27
  6. Step 6: Final answer
    x = 10,759.99

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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.