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Finding the Fourth Proportional to 11,902.56, 17,853.28 and 5,658.08

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Solution

The fourth proportional to 11,902.56, 17,853.28 and 5,658.08 is: 8,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.56 : 17,853.28 = 5,658.08 : x
  2. Step 2: Convert to fraction form
    11,902.56/17,853.28 = 5,658.08/x
  3. Step 3: Cross multiply
    11,902.56x = 17,853.28 × 5,658.08
  4. Step 4: Simplify right side
    11,902.56x = 101,015,286.50
  5. Step 5: Solve for x
    x = 101,015,286.50/11,902.56
  6. Step 6: Final answer
    x = 8,486.85

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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.