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Finding the Fourth Proportional to 8,394.85, 12,593.52 and 2,551.92

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Solution

The fourth proportional to 8,394.85, 12,593.52 and 2,551.92 is: 3,828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.85 : 12,593.52 = 2,551.92 : x
  2. Step 2: Convert to fraction form
    8,394.85/12,593.52 = 2,551.92/x
  3. Step 3: Cross multiply
    8,394.85x = 12,593.52 × 2,551.92
  4. Step 4: Simplify right side
    8,394.85x = 32,137,655.56
  5. Step 5: Solve for x
    x = 32,137,655.56/8,394.85
  6. Step 6: Final answer
    x = 3,828.26

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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.