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Finding the Fourth Proportional to 8,404.36, 11,593.19 and 5,216.20

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Solution

The fourth proportional to 8,404.36, 11,593.19 and 5,216.20 is: 7,195.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.36 : 11,593.19 = 5,216.20 : x
  2. Step 2: Convert to fraction form
    8,404.36/11,593.19 = 5,216.20/x
  3. Step 3: Cross multiply
    8,404.36x = 11,593.19 × 5,216.20
  4. Step 4: Simplify right side
    8,404.36x = 60,472,381.74
  5. Step 5: Solve for x
    x = 60,472,381.74/8,404.36
  6. Step 6: Final answer
    x = 7,195.36

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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.