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Finding the Fourth Proportional to 10,884.70, 15,022.41 and 7,869.61

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Solution

The fourth proportional to 10,884.70, 15,022.41 and 7,869.61 is: 10,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.70 : 15,022.41 = 7,869.61 : x
  2. Step 2: Convert to fraction form
    10,884.70/15,022.41 = 7,869.61/x
  3. Step 3: Cross multiply
    10,884.70x = 15,022.41 × 7,869.61
  4. Step 4: Simplify right side
    10,884.70x = 118,220,456.99
  5. Step 5: Solve for x
    x = 118,220,456.99/10,884.70
  6. Step 6: Final answer
    x = 10,861.15

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