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Finding the Fourth Proportional to 8,387.28, 12,582.44 and 3,454.17

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Solution

The fourth proportional to 8,387.28, 12,582.44 and 3,454.17 is: 5,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.28 : 12,582.44 = 3,454.17 : x
  2. Step 2: Convert to fraction form
    8,387.28/12,582.44 = 3,454.17/x
  3. Step 3: Cross multiply
    8,387.28x = 12,582.44 × 3,454.17
  4. Step 4: Simplify right side
    8,387.28x = 43,461,869.50
  5. Step 5: Solve for x
    x = 43,461,869.50/8,387.28
  6. Step 6: Final answer
    x = 5,181.88

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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.