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Finding the Fourth Proportional to 7,712.24, 11,565.96 and 2,781.24

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Solution

The fourth proportional to 7,712.24, 11,565.96 and 2,781.24 is: 4,170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.24 : 11,565.96 = 2,781.24 : x
  2. Step 2: Convert to fraction form
    7,712.24/11,565.96 = 2,781.24/x
  3. Step 3: Cross multiply
    7,712.24x = 11,565.96 × 2,781.24
  4. Step 4: Simplify right side
    7,712.24x = 32,167,680.26
  5. Step 5: Solve for x
    x = 32,167,680.26/7,712.24
  6. Step 6: Final answer
    x = 4,170.99

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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.