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Finding the Fourth Proportional to 8,364.80, 12,540.69 and 3,744.56

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Solution

The fourth proportional to 8,364.80, 12,540.69 and 3,744.56 is: 5,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.80 : 12,540.69 = 3,744.56 : x
  2. Step 2: Convert to fraction form
    8,364.80/12,540.69 = 3,744.56/x
  3. Step 3: Cross multiply
    8,364.80x = 12,540.69 × 3,744.56
  4. Step 4: Simplify right side
    8,364.80x = 46,959,397.50
  5. Step 5: Solve for x
    x = 46,959,397.50/8,364.80
  6. Step 6: Final answer
    x = 5,613.93

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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.