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Finding the Fourth Proportional to 11,566.62, 17,348.13 and 3,773.70

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Solution

The fourth proportional to 11,566.62, 17,348.13 and 3,773.70 is: 5,659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.62 : 17,348.13 = 3,773.70 : x
  2. Step 2: Convert to fraction form
    11,566.62/17,348.13 = 3,773.70/x
  3. Step 3: Cross multiply
    11,566.62x = 17,348.13 × 3,773.70
  4. Step 4: Simplify right side
    11,566.62x = 65,466,638.18
  5. Step 5: Solve for x
    x = 65,466,638.18/11,566.62
  6. Step 6: Final answer
    x = 5,659.96

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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.