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Finding the Fourth Proportional to 8,174.31, 12,264.90 and 5,544.78

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Solution

The fourth proportional to 8,174.31, 12,264.90 and 5,544.78 is: 8,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.31 : 12,264.90 = 5,544.78 : x
  2. Step 2: Convert to fraction form
    8,174.31/12,264.90 = 5,544.78/x
  3. Step 3: Cross multiply
    8,174.31x = 12,264.90 × 5,544.78
  4. Step 4: Simplify right side
    8,174.31x = 68,006,172.22
  5. Step 5: Solve for x
    x = 68,006,172.22/8,174.31
  6. Step 6: Final answer
    x = 8,319.50

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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.