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Finding the Fourth Proportional to 8,493.85, 12,740.71 and 3,496.18

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Solution

The fourth proportional to 8,493.85, 12,740.71 and 3,496.18 is: 5,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.85 : 12,740.71 = 3,496.18 : x
  2. Step 2: Convert to fraction form
    8,493.85/12,740.71 = 3,496.18/x
  3. Step 3: Cross multiply
    8,493.85x = 12,740.71 × 3,496.18
  4. Step 4: Simplify right side
    8,493.85x = 44,543,815.49
  5. Step 5: Solve for x
    x = 44,543,815.49/8,493.85
  6. Step 6: Final answer
    x = 5,244.24

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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.