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Finding the Fourth Proportional to 11,882.06, 17,827.11 and 4,488.65

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Solution

The fourth proportional to 11,882.06, 17,827.11 and 4,488.65 is: 6,734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.06 : 17,827.11 = 4,488.65 : x
  2. Step 2: Convert to fraction form
    11,882.06/17,827.11 = 4,488.65/x
  3. Step 3: Cross multiply
    11,882.06x = 17,827.11 × 4,488.65
  4. Step 4: Simplify right side
    11,882.06x = 80,019,545.72
  5. Step 5: Solve for x
    x = 80,019,545.72/11,882.06
  6. Step 6: Final answer
    x = 6,734.49

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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.