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Finding the Fourth Proportional to 6,685.12, 10,037.12 and 4,211.92

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Solution

The fourth proportional to 6,685.12, 10,037.12 and 4,211.92 is: 6,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.12 : 10,037.12 = 4,211.92 : x
  2. Step 2: Convert to fraction form
    6,685.12/10,037.12 = 4,211.92/x
  3. Step 3: Cross multiply
    6,685.12x = 10,037.12 × 4,211.92
  4. Step 4: Simplify right side
    6,685.12x = 42,275,546.47
  5. Step 5: Solve for x
    x = 42,275,546.47/6,685.12
  6. Step 6: Final answer
    x = 6,323.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.