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Finding the Fourth Proportional to 8,245.13, 12,367.76 and 2,005.17

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Solution

The fourth proportional to 8,245.13, 12,367.76 and 2,005.17 is: 3,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.13 : 12,367.76 = 2,005.17 : x
  2. Step 2: Convert to fraction form
    8,245.13/12,367.76 = 2,005.17/x
  3. Step 3: Cross multiply
    8,245.13x = 12,367.76 × 2,005.17
  4. Step 4: Simplify right side
    8,245.13x = 24,799,404.91
  5. Step 5: Solve for x
    x = 24,799,404.91/8,245.13
  6. Step 6: Final answer
    x = 3,007.77

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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.