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Finding the Fourth Proportional to 8,461.29, 12,689.10 and 3,462.39

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Solution

The fourth proportional to 8,461.29, 12,689.10 and 3,462.39 is: 5,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.29 : 12,689.10 = 3,462.39 : x
  2. Step 2: Convert to fraction form
    8,461.29/12,689.10 = 3,462.39/x
  3. Step 3: Cross multiply
    8,461.29x = 12,689.10 × 3,462.39
  4. Step 4: Simplify right side
    8,461.29x = 43,934,612.95
  5. Step 5: Solve for x
    x = 43,934,612.95/8,461.29
  6. Step 6: Final answer
    x = 5,192.42

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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.