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Finding the Fourth Proportional to 7,687.38, 11,531.27 and 3,070.38

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Solution

The fourth proportional to 7,687.38, 11,531.27 and 3,070.38 is: 4,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.38 : 11,531.27 = 3,070.38 : x
  2. Step 2: Convert to fraction form
    7,687.38/11,531.27 = 3,070.38/x
  3. Step 3: Cross multiply
    7,687.38x = 11,531.27 × 3,070.38
  4. Step 4: Simplify right side
    7,687.38x = 35,405,380.78
  5. Step 5: Solve for x
    x = 35,405,380.78/7,687.38
  6. Step 6: Final answer
    x = 4,605.65

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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.