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Finding the Fourth Proportional to 8,461.13, 12,691.49 and 3,530.66

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Solution

The fourth proportional to 8,461.13, 12,691.49 and 3,530.66 is: 5,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.13 : 12,691.49 = 3,530.66 : x
  2. Step 2: Convert to fraction form
    8,461.13/12,691.49 = 3,530.66/x
  3. Step 3: Cross multiply
    8,461.13x = 12,691.49 × 3,530.66
  4. Step 4: Simplify right side
    8,461.13x = 44,809,254.97
  5. Step 5: Solve for x
    x = 44,809,254.97/8,461.13
  6. Step 6: Final answer
    x = 5,295.90

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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.