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Finding the Fourth Proportional to 7,694.56, 11,543.52 and 2,500.32

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Solution

The fourth proportional to 7,694.56, 11,543.52 and 2,500.32 is: 3,751.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.56 : 11,543.52 = 2,500.32 : x
  2. Step 2: Convert to fraction form
    7,694.56/11,543.52 = 2,500.32/x
  3. Step 3: Cross multiply
    7,694.56x = 11,543.52 × 2,500.32
  4. Step 4: Simplify right side
    7,694.56x = 28,862,493.93
  5. Step 5: Solve for x
    x = 28,862,493.93/7,694.56
  6. Step 6: Final answer
    x = 3,751.03

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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.