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Finding the Fourth Proportional to 7,650.92, 10,568.68 and 5,993.30

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Solution

The fourth proportional to 7,650.92, 10,568.68 and 5,993.30 is: 8,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.92 : 10,568.68 = 5,993.30 : x
  2. Step 2: Convert to fraction form
    7,650.92/10,568.68 = 5,993.30/x
  3. Step 3: Cross multiply
    7,650.92x = 10,568.68 × 5,993.30
  4. Step 4: Simplify right side
    7,650.92x = 63,341,269.84
  5. Step 5: Solve for x
    x = 63,341,269.84/7,650.92
  6. Step 6: Final answer
    x = 8,278.91

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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.