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Finding the Fourth Proportional to 8,377.50, 12,549.81 and 5,744.58

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Solution

The fourth proportional to 8,377.50, 12,549.81 and 5,744.58 is: 8,605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.50 : 12,549.81 = 5,744.58 : x
  2. Step 2: Convert to fraction form
    8,377.50/12,549.81 = 5,744.58/x
  3. Step 3: Cross multiply
    8,377.50x = 12,549.81 × 5,744.58
  4. Step 4: Simplify right side
    8,377.50x = 72,093,387.53
  5. Step 5: Solve for x
    x = 72,093,387.53/8,377.50
  6. Step 6: Final answer
    x = 8,605.60

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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.