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Finding the Fourth Proportional to 10,876.68, 16,314.48 and 3,084.48

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Solution

The fourth proportional to 10,876.68, 16,314.48 and 3,084.48 is: 4,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.68 : 16,314.48 = 3,084.48 : x
  2. Step 2: Convert to fraction form
    10,876.68/16,314.48 = 3,084.48/x
  3. Step 3: Cross multiply
    10,876.68x = 16,314.48 × 3,084.48
  4. Step 4: Simplify right side
    10,876.68x = 50,321,687.27
  5. Step 5: Solve for x
    x = 50,321,687.27/10,876.68
  6. Step 6: Final answer
    x = 4,626.57

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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.