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Finding the Fourth Proportional to 6,990.70, 10,489.69 and 2,833.78

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Solution

The fourth proportional to 6,990.70, 10,489.69 and 2,833.78 is: 4,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.70 : 10,489.69 = 2,833.78 : x
  2. Step 2: Convert to fraction form
    6,990.70/10,489.69 = 2,833.78/x
  3. Step 3: Cross multiply
    6,990.70x = 10,489.69 × 2,833.78
  4. Step 4: Simplify right side
    6,990.70x = 29,725,414.20
  5. Step 5: Solve for x
    x = 29,725,414.20/6,990.70
  6. Step 6: Final answer
    x = 4,252.14

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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.