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Finding the Fourth Proportional to 8,369.48, 12,538.68 and 5,992.65

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Solution

The fourth proportional to 8,369.48, 12,538.68 and 5,992.65 is: 8,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.48 : 12,538.68 = 5,992.65 : x
  2. Step 2: Convert to fraction form
    8,369.48/12,538.68 = 5,992.65/x
  3. Step 3: Cross multiply
    8,369.48x = 12,538.68 × 5,992.65
  4. Step 4: Simplify right side
    8,369.48x = 75,139,920.70
  5. Step 5: Solve for x
    x = 75,139,920.70/8,369.48
  6. Step 6: Final answer
    x = 8,977.85

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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.