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Finding the Fourth Proportional to 12,513.27, 18,765.15 and 5,113.76

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Solution

The fourth proportional to 12,513.27, 18,765.15 and 5,113.76 is: 7,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.27 : 18,765.15 = 5,113.76 : x
  2. Step 2: Convert to fraction form
    12,513.27/18,765.15 = 5,113.76/x
  3. Step 3: Cross multiply
    12,513.27x = 18,765.15 × 5,113.76
  4. Step 4: Simplify right side
    12,513.27x = 95,960,473.46
  5. Step 5: Solve for x
    x = 95,960,473.46/12,513.27
  6. Step 6: Final answer
    x = 7,668.70

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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.