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Finding the Fourth Proportional to 8,504.46, 12,757.41 and 2,264.47

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Solution

The fourth proportional to 8,504.46, 12,757.41 and 2,264.47 is: 3,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.46 : 12,757.41 = 2,264.47 : x
  2. Step 2: Convert to fraction form
    8,504.46/12,757.41 = 2,264.47/x
  3. Step 3: Cross multiply
    8,504.46x = 12,757.41 × 2,264.47
  4. Step 4: Simplify right side
    8,504.46x = 28,888,788.17
  5. Step 5: Solve for x
    x = 28,888,788.17/8,504.46
  6. Step 6: Final answer
    x = 3,396.90

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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.