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Finding the Fourth Proportional to 7,971.39, 11,951.14 and 5,499.16

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Solution

The fourth proportional to 7,971.39, 11,951.14 and 5,499.16 is: 8,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.39 : 11,951.14 = 5,499.16 : x
  2. Step 2: Convert to fraction form
    7,971.39/11,951.14 = 5,499.16/x
  3. Step 3: Cross multiply
    7,971.39x = 11,951.14 × 5,499.16
  4. Step 4: Simplify right side
    7,971.39x = 65,721,217.29
  5. Step 5: Solve for x
    x = 65,721,217.29/7,971.39
  6. Step 6: Final answer
    x = 8,244.63

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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.