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Finding the Fourth Proportional to 7,658.55, 11,489.22 and 2,731.05

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Solution

The fourth proportional to 7,658.55, 11,489.22 and 2,731.05 is: 4,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.55 : 11,489.22 = 2,731.05 : x
  2. Step 2: Convert to fraction form
    7,658.55/11,489.22 = 2,731.05/x
  3. Step 3: Cross multiply
    7,658.55x = 11,489.22 × 2,731.05
  4. Step 4: Simplify right side
    7,658.55x = 31,377,634.28
  5. Step 5: Solve for x
    x = 31,377,634.28/7,658.55
  6. Step 6: Final answer
    x = 4,097.07

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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.