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Finding the Fourth Proportional to 10,352.71, 15,516.10 and 8,152.75

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Solution

The fourth proportional to 10,352.71, 15,516.10 and 8,152.75 is: 12,218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.71 : 15,516.10 = 8,152.75 : x
  2. Step 2: Convert to fraction form
    10,352.71/15,516.10 = 8,152.75/x
  3. Step 3: Cross multiply
    10,352.71x = 15,516.10 × 8,152.75
  4. Step 4: Simplify right side
    10,352.71x = 126,498,765.93
  5. Step 5: Solve for x
    x = 126,498,765.93/10,352.71
  6. Step 6: Final answer
    x = 12,218.91

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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.