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Finding the Fourth Proportional to 8,119.17, 11,196.97 and 5,597.24

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Solution

The fourth proportional to 8,119.17, 11,196.97 and 5,597.24 is: 7,719.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.17 : 11,196.97 = 5,597.24 : x
  2. Step 2: Convert to fraction form
    8,119.17/11,196.97 = 5,597.24/x
  3. Step 3: Cross multiply
    8,119.17x = 11,196.97 × 5,597.24
  4. Step 4: Simplify right side
    8,119.17x = 62,672,058.38
  5. Step 5: Solve for x
    x = 62,672,058.38/8,119.17
  6. Step 6: Final answer
    x = 7,719.02

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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.