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Finding the Fourth Proportional to 7,691.58, 10,614.38 and 4,154.79

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Solution

The fourth proportional to 7,691.58, 10,614.38 and 4,154.79 is: 5,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.58 : 10,614.38 = 4,154.79 : x
  2. Step 2: Convert to fraction form
    7,691.58/10,614.38 = 4,154.79/x
  3. Step 3: Cross multiply
    7,691.58x = 10,614.38 × 4,154.79
  4. Step 4: Simplify right side
    7,691.58x = 44,100,530.27
  5. Step 5: Solve for x
    x = 44,100,530.27/7,691.58
  6. Step 6: Final answer
    x = 5,733.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.