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Finding the Fourth Proportional to 10,217.59, 15,318.61 and 5,284.08

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Solution

The fourth proportional to 10,217.59, 15,318.61 and 5,284.08 is: 7,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.59 : 15,318.61 = 5,284.08 : x
  2. Step 2: Convert to fraction form
    10,217.59/15,318.61 = 5,284.08/x
  3. Step 3: Cross multiply
    10,217.59x = 15,318.61 × 5,284.08
  4. Step 4: Simplify right side
    10,217.59x = 80,944,760.73
  5. Step 5: Solve for x
    x = 80,944,760.73/10,217.59
  6. Step 6: Final answer
    x = 7,922.10

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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.