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Finding the Fourth Proportional to 10,194.92, 15,292.40 and 8,211.26

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Solution

The fourth proportional to 10,194.92, 15,292.40 and 8,211.26 is: 12,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.92 : 15,292.40 = 8,211.26 : x
  2. Step 2: Convert to fraction form
    10,194.92/15,292.40 = 8,211.26/x
  3. Step 3: Cross multiply
    10,194.92x = 15,292.40 × 8,211.26
  4. Step 4: Simplify right side
    10,194.92x = 125,569,872.42
  5. Step 5: Solve for x
    x = 125,569,872.42/10,194.92
  6. Step 6: Final answer
    x = 12,316.91

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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.