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Finding the Fourth Proportional to 7,152.47, 10,731.66 and 3,861.69

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Solution

The fourth proportional to 7,152.47, 10,731.66 and 3,861.69 is: 5,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.47 : 10,731.66 = 3,861.69 : x
  2. Step 2: Convert to fraction form
    7,152.47/10,731.66 = 3,861.69/x
  3. Step 3: Cross multiply
    7,152.47x = 10,731.66 × 3,861.69
  4. Step 4: Simplify right side
    7,152.47x = 41,442,289.38
  5. Step 5: Solve for x
    x = 41,442,289.38/7,152.47
  6. Step 6: Final answer
    x = 5,794.12

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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.