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Finding the Fourth Proportional to 7,712.85, 11,567.24 and 2,781.57

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Solution

The fourth proportional to 7,712.85, 11,567.24 and 2,781.57 is: 4,171.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.85 : 11,567.24 = 2,781.57 : x
  2. Step 2: Convert to fraction form
    7,712.85/11,567.24 = 2,781.57/x
  3. Step 3: Cross multiply
    7,712.85x = 11,567.24 × 2,781.57
  4. Step 4: Simplify right side
    7,712.85x = 32,175,087.77
  5. Step 5: Solve for x
    x = 32,175,087.77/7,712.85
  6. Step 6: Final answer
    x = 4,171.62

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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.