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Finding the Fourth Proportional to 12,511.38, 18,767.07 and 5,114.55

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Solution

The fourth proportional to 12,511.38, 18,767.07 and 5,114.55 is: 7,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511.38 : 18,767.07 = 5,114.55 : x
  2. Step 2: Convert to fraction form
    12,511.38/18,767.07 = 5,114.55/x
  3. Step 3: Cross multiply
    12,511.38x = 18,767.07 × 5,114.55
  4. Step 4: Simplify right side
    12,511.38x = 95,985,117.87
  5. Step 5: Solve for x
    x = 95,985,117.87/12,511.38
  6. Step 6: Final answer
    x = 7,671.83

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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.