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Finding the Fourth Proportional to 8,026.92, 11,077.38 and 4,490.15

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Solution

The fourth proportional to 8,026.92, 11,077.38 and 4,490.15 is: 6,196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.92 : 11,077.38 = 4,490.15 : x
  2. Step 2: Convert to fraction form
    8,026.92/11,077.38 = 4,490.15/x
  3. Step 3: Cross multiply
    8,026.92x = 11,077.38 × 4,490.15
  4. Step 4: Simplify right side
    8,026.92x = 49,739,042.42
  5. Step 5: Solve for x
    x = 49,739,042.42/8,026.92
  6. Step 6: Final answer
    x = 6,196.53

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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.