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Finding the Fourth Proportional to 7,961.87, 10,988.60 and 5,731.13

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Solution

The fourth proportional to 7,961.87, 10,988.60 and 5,731.13 is: 7,909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.87 : 10,988.60 = 5,731.13 : x
  2. Step 2: Convert to fraction form
    7,961.87/10,988.60 = 5,731.13/x
  3. Step 3: Cross multiply
    7,961.87x = 10,988.60 × 5,731.13
  4. Step 4: Simplify right side
    7,961.87x = 62,977,093.93
  5. Step 5: Solve for x
    x = 62,977,093.93/7,961.87
  6. Step 6: Final answer
    x = 7,909.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.