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Finding the Fourth Proportional to 11,691.32, 17,534.40 and 3,369.50

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Solution

The fourth proportional to 11,691.32, 17,534.40 and 3,369.50 is: 5,053.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.32 : 17,534.40 = 3,369.50 : x
  2. Step 2: Convert to fraction form
    11,691.32/17,534.40 = 3,369.50/x
  3. Step 3: Cross multiply
    11,691.32x = 17,534.40 × 3,369.50
  4. Step 4: Simplify right side
    11,691.32x = 59,082,160.80
  5. Step 5: Solve for x
    x = 59,082,160.80/11,691.32
  6. Step 6: Final answer
    x = 5,053.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.