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Finding the Fourth Proportional to 8,456.13, 12,686.31 and 3,191.13

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Solution

The fourth proportional to 8,456.13, 12,686.31 and 3,191.13 is: 4,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.13 : 12,686.31 = 3,191.13 : x
  2. Step 2: Convert to fraction form
    8,456.13/12,686.31 = 3,191.13/x
  3. Step 3: Cross multiply
    8,456.13x = 12,686.31 × 3,191.13
  4. Step 4: Simplify right side
    8,456.13x = 40,483,664.43
  5. Step 5: Solve for x
    x = 40,483,664.43/8,456.13
  6. Step 6: Final answer
    x = 4,787.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.