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Finding the Fourth Proportional to 6,691.62, 10,037.39 and 5,232

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Solution

The fourth proportional to 6,691.62, 10,037.39 and 5,232 is: 7,847.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.62 : 10,037.39 = 5,232 : x
  2. Step 2: Convert to fraction form
    6,691.62/10,037.39 = 5,232/x
  3. Step 3: Cross multiply
    6,691.62x = 10,037.39 × 5,232
  4. Step 4: Simplify right side
    6,691.62x = 52,515,598.32
  5. Step 5: Solve for x
    x = 52,515,598.32/6,691.62
  6. Step 6: Final answer
    x = 7,847.96

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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.