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Finding the Fourth Proportional to 7,694.26, 11,543.20 and 2,500.12

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Solution

The fourth proportional to 7,694.26, 11,543.20 and 2,500.12 is: 3,750.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.26 : 11,543.20 = 2,500.12 : x
  2. Step 2: Convert to fraction form
    7,694.26/11,543.20 = 2,500.12/x
  3. Step 3: Cross multiply
    7,694.26x = 11,543.20 × 2,500.12
  4. Step 4: Simplify right side
    7,694.26x = 28,859,385.18
  5. Step 5: Solve for x
    x = 28,859,385.18/7,694.26
  6. Step 6: Final answer
    x = 3,750.77

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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.