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Finding the Fourth Proportional to 7,687.76, 11,531.37 and 2,493.50

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Solution

The fourth proportional to 7,687.76, 11,531.37 and 2,493.50 is: 3,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.76 : 11,531.37 = 2,493.50 : x
  2. Step 2: Convert to fraction form
    7,687.76/11,531.37 = 2,493.50/x
  3. Step 3: Cross multiply
    7,687.76x = 11,531.37 × 2,493.50
  4. Step 4: Simplify right side
    7,687.76x = 28,753,471.10
  5. Step 5: Solve for x
    x = 28,753,471.10/7,687.76
  6. Step 6: Final answer
    x = 3,740.16

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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.