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Finding the Fourth Proportional to 8,344.38, 12,515.94 and 3,412.68

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Solution

The fourth proportional to 8,344.38, 12,515.94 and 3,412.68 is: 5,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.38 : 12,515.94 = 3,412.68 : x
  2. Step 2: Convert to fraction form
    8,344.38/12,515.94 = 3,412.68/x
  3. Step 3: Cross multiply
    8,344.38x = 12,515.94 × 3,412.68
  4. Step 4: Simplify right side
    8,344.38x = 42,712,898.12
  5. Step 5: Solve for x
    x = 42,712,898.12/8,344.38
  6. Step 6: Final answer
    x = 5,118.76

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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.