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Finding the Fourth Proportional to 10,213.15, 15,332.68 and 8,683.87

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Solution

The fourth proportional to 10,213.15, 15,332.68 and 8,683.87 is: 13,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.15 : 15,332.68 = 8,683.87 : x
  2. Step 2: Convert to fraction form
    10,213.15/15,332.68 = 8,683.87/x
  3. Step 3: Cross multiply
    10,213.15x = 15,332.68 × 8,683.87
  4. Step 4: Simplify right side
    10,213.15x = 133,146,923.21
  5. Step 5: Solve for x
    x = 133,146,923.21/10,213.15
  6. Step 6: Final answer
    x = 13,036.82

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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.