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Finding the Fourth Proportional to 7,279.92, 10,024.56 and 7,116.48

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Solution

The fourth proportional to 7,279.92, 10,024.56 and 7,116.48 is: 9,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,279.92 : 10,024.56 = 7,116.48 : x
  2. Step 2: Convert to fraction form
    7,279.92/10,024.56 = 7,116.48/x
  3. Step 3: Cross multiply
    7,279.92x = 10,024.56 × 7,116.48
  4. Step 4: Simplify right side
    7,279.92x = 71,339,580.75
  5. Step 5: Solve for x
    x = 71,339,580.75/7,279.92
  6. Step 6: Final answer
    x = 9,799.50

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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.