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Finding the Fourth Proportional to 7,951.31, 10,967.96 and 5,716.22

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Solution

The fourth proportional to 7,951.31, 10,967.96 and 5,716.22 is: 7,884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.31 : 10,967.96 = 5,716.22 : x
  2. Step 2: Convert to fraction form
    7,951.31/10,967.96 = 5,716.22/x
  3. Step 3: Cross multiply
    7,951.31x = 10,967.96 × 5,716.22
  4. Step 4: Simplify right side
    7,951.31x = 62,695,261.30
  5. Step 5: Solve for x
    x = 62,695,261.30/7,951.31
  6. Step 6: Final answer
    x = 7,884.89

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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.