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Finding the Fourth Proportional to 8,401.96, 11,594.46 and 5,046.76

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Solution

The fourth proportional to 8,401.96, 11,594.46 and 5,046.76 is: 6,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.96 : 11,594.46 = 5,046.76 : x
  2. Step 2: Convert to fraction form
    8,401.96/11,594.46 = 5,046.76/x
  3. Step 3: Cross multiply
    8,401.96x = 11,594.46 × 5,046.76
  4. Step 4: Simplify right side
    8,401.96x = 58,514,456.95
  5. Step 5: Solve for x
    x = 58,514,456.95/8,401.96
  6. Step 6: Final answer
    x = 6,964.38

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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.