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Finding the Fourth Proportional to 7,694.40, 11,543.40 and 2,500.26

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Solution

The fourth proportional to 7,694.40, 11,543.40 and 2,500.26 is: 3,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.40 : 11,543.40 = 2,500.26 : x
  2. Step 2: Convert to fraction form
    7,694.40/11,543.40 = 2,500.26/x
  3. Step 3: Cross multiply
    7,694.40x = 11,543.40 × 2,500.26
  4. Step 4: Simplify right side
    7,694.40x = 28,861,501.28
  5. Step 5: Solve for x
    x = 28,861,501.28/7,694.40
  6. Step 6: Final answer
    x = 3,750.97

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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.