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Finding the Fourth Proportional to 10,280.68, 15,446.40 and 6,584.52

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Solution

The fourth proportional to 10,280.68, 15,446.40 and 6,584.52 is: 9,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.68 : 15,446.40 = 6,584.52 : x
  2. Step 2: Convert to fraction form
    10,280.68/15,446.40 = 6,584.52/x
  3. Step 3: Cross multiply
    10,280.68x = 15,446.40 × 6,584.52
  4. Step 4: Simplify right side
    10,280.68x = 101,707,129.73
  5. Step 5: Solve for x
    x = 101,707,129.73/10,280.68
  6. Step 6: Final answer
    x = 9,893.04

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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.