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Finding the Fourth Proportional to 12,115.67, 18,166.67 and 4,711.65

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Solution

The fourth proportional to 12,115.67, 18,166.67 and 4,711.65 is: 7,064.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.67 : 18,166.67 = 4,711.65 : x
  2. Step 2: Convert to fraction form
    12,115.67/18,166.67 = 4,711.65/x
  3. Step 3: Cross multiply
    12,115.67x = 18,166.67 × 4,711.65
  4. Step 4: Simplify right side
    12,115.67x = 85,595,002.48
  5. Step 5: Solve for x
    x = 85,595,002.48/12,115.67
  6. Step 6: Final answer
    x = 7,064.82

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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.