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Finding the Fourth Proportional to 7,913.92, 10,930.56 and 5,933.12

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Solution

The fourth proportional to 7,913.92, 10,930.56 and 5,933.12 is: 8,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.92 : 10,930.56 = 5,933.12 : x
  2. Step 2: Convert to fraction form
    7,913.92/10,930.56 = 5,933.12/x
  3. Step 3: Cross multiply
    7,913.92x = 10,930.56 × 5,933.12
  4. Step 4: Simplify right side
    7,913.92x = 64,852,324.15
  5. Step 5: Solve for x
    x = 64,852,324.15/7,913.92
  6. Step 6: Final answer
    x = 8,194.72

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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.