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Finding the Fourth Proportional to 8,369.72, 12,544.84 and 3,743

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Solution

The fourth proportional to 8,369.72, 12,544.84 and 3,743 is: 5,610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.72 : 12,544.84 = 3,743 : x
  2. Step 2: Convert to fraction form
    8,369.72/12,544.84 = 3,743/x
  3. Step 3: Cross multiply
    8,369.72x = 12,544.84 × 3,743
  4. Step 4: Simplify right side
    8,369.72x = 46,955,336.12
  5. Step 5: Solve for x
    x = 46,955,336.12/8,369.72
  6. Step 6: Final answer
    x = 5,610.14

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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.