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Finding the Fourth Proportional to 8,162.92, 11,265.72 and 4,626.36

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Solution

The fourth proportional to 8,162.92, 11,265.72 and 4,626.36 is: 6,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.92 : 11,265.72 = 4,626.36 : x
  2. Step 2: Convert to fraction form
    8,162.92/11,265.72 = 4,626.36/x
  3. Step 3: Cross multiply
    8,162.92x = 11,265.72 × 4,626.36
  4. Step 4: Simplify right side
    8,162.92x = 52,119,276.38
  5. Step 5: Solve for x
    x = 52,119,276.38/8,162.92
  6. Step 6: Final answer
    x = 6,384.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.