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Finding the Fourth Proportional to 6,977.92, 10,469.76 and 3,516.16

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Solution

The fourth proportional to 6,977.92, 10,469.76 and 3,516.16 is: 5,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.92 : 10,469.76 = 3,516.16 : x
  2. Step 2: Convert to fraction form
    6,977.92/10,469.76 = 3,516.16/x
  3. Step 3: Cross multiply
    6,977.92x = 10,469.76 × 3,516.16
  4. Step 4: Simplify right side
    6,977.92x = 36,813,351.32
  5. Step 5: Solve for x
    x = 36,813,351.32/6,977.92
  6. Step 6: Final answer
    x = 5,275.69

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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.