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Finding the Fourth Proportional to 6,847.92, 10,248.12 and 4,214.25

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Solution

The fourth proportional to 6,847.92, 10,248.12 and 4,214.25 is: 6,306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.92 : 10,248.12 = 4,214.25 : x
  2. Step 2: Convert to fraction form
    6,847.92/10,248.12 = 4,214.25/x
  3. Step 3: Cross multiply
    6,847.92x = 10,248.12 × 4,214.25
  4. Step 4: Simplify right side
    6,847.92x = 43,188,139.71
  5. Step 5: Solve for x
    x = 43,188,139.71/6,847.92
  6. Step 6: Final answer
    x = 6,306.75

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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.