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Finding the Fourth Proportional to 8,837.92, 12,201.24 and 5,302

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Solution

The fourth proportional to 8,837.92, 12,201.24 and 5,302 is: 7,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,837.92 : 12,201.24 = 5,302 : x
  2. Step 2: Convert to fraction form
    8,837.92/12,201.24 = 5,302/x
  3. Step 3: Cross multiply
    8,837.92x = 12,201.24 × 5,302
  4. Step 4: Simplify right side
    8,837.92x = 64,690,974.48
  5. Step 5: Solve for x
    x = 64,690,974.48/8,837.92
  6. Step 6: Final answer
    x = 7,319.71

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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.