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Finding the Fourth Proportional to 8,517.48, 12,778.04 and 2,594.62

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Solution

The fourth proportional to 8,517.48, 12,778.04 and 2,594.62 is: 3,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.48 : 12,778.04 = 2,594.62 : x
  2. Step 2: Convert to fraction form
    8,517.48/12,778.04 = 2,594.62/x
  3. Step 3: Cross multiply
    8,517.48x = 12,778.04 × 2,594.62
  4. Step 4: Simplify right side
    8,517.48x = 33,154,145.17
  5. Step 5: Solve for x
    x = 33,154,145.17/8,517.48
  6. Step 6: Final answer
    x = 3,892.49

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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.