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Finding the Fourth Proportional to 7,531.90, 11,301.90 and 3,149.80

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Solution

The fourth proportional to 7,531.90, 11,301.90 and 3,149.80 is: 4,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.90 : 11,301.90 = 3,149.80 : x
  2. Step 2: Convert to fraction form
    7,531.90/11,301.90 = 3,149.80/x
  3. Step 3: Cross multiply
    7,531.90x = 11,301.90 × 3,149.80
  4. Step 4: Simplify right side
    7,531.90x = 35,598,724.62
  5. Step 5: Solve for x
    x = 35,598,724.62/7,531.90
  6. Step 6: Final answer
    x = 4,726.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.