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Finding the Fourth Proportional to 7,921.92, 10,930.50 and 5,934.18

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Solution

The fourth proportional to 7,921.92, 10,930.50 and 5,934.18 is: 8,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.92 : 10,930.50 = 5,934.18 : x
  2. Step 2: Convert to fraction form
    7,921.92/10,930.50 = 5,934.18/x
  3. Step 3: Cross multiply
    7,921.92x = 10,930.50 × 5,934.18
  4. Step 4: Simplify right side
    7,921.92x = 64,863,554.49
  5. Step 5: Solve for x
    x = 64,863,554.49/7,921.92
  6. Step 6: Final answer
    x = 8,187.86

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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.