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Finding the Fourth Proportional to 8,174.55, 12,256.55 and 3,497.61

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Solution

The fourth proportional to 8,174.55, 12,256.55 and 3,497.61 is: 5,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.55 : 12,256.55 = 3,497.61 : x
  2. Step 2: Convert to fraction form
    8,174.55/12,256.55 = 3,497.61/x
  3. Step 3: Cross multiply
    8,174.55x = 12,256.55 × 3,497.61
  4. Step 4: Simplify right side
    8,174.55x = 42,868,631.85
  5. Step 5: Solve for x
    x = 42,868,631.85/8,174.55
  6. Step 6: Final answer
    x = 5,244.16

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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.