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Finding the Fourth Proportional to 10,102.57, 15,103.97 and 8,559.83

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Solution

The fourth proportional to 10,102.57, 15,103.97 and 8,559.83 is: 12,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.57 : 15,103.97 = 8,559.83 : x
  2. Step 2: Convert to fraction form
    10,102.57/15,103.97 = 8,559.83/x
  3. Step 3: Cross multiply
    10,102.57x = 15,103.97 × 8,559.83
  4. Step 4: Simplify right side
    10,102.57x = 129,287,357.63
  5. Step 5: Solve for x
    x = 129,287,357.63/10,102.57
  6. Step 6: Final answer
    x = 12,797.47

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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.