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Finding the Fourth Proportional to 8,221.38, 11,345.92 and 4,866.12

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Solution

The fourth proportional to 8,221.38, 11,345.92 and 4,866.12 is: 6,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.38 : 11,345.92 = 4,866.12 : x
  2. Step 2: Convert to fraction form
    8,221.38/11,345.92 = 4,866.12/x
  3. Step 3: Cross multiply
    8,221.38x = 11,345.92 × 4,866.12
  4. Step 4: Simplify right side
    8,221.38x = 55,210,608.23
  5. Step 5: Solve for x
    x = 55,210,608.23/8,221.38
  6. Step 6: Final answer
    x = 6,715.49

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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.