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Finding the Fourth Proportional to 8,202.19, 11,319.39 and 4,618.38

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Solution

The fourth proportional to 8,202.19, 11,319.39 and 4,618.38 is: 6,373.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.19 : 11,319.39 = 4,618.38 : x
  2. Step 2: Convert to fraction form
    8,202.19/11,319.39 = 4,618.38/x
  3. Step 3: Cross multiply
    8,202.19x = 11,319.39 × 4,618.38
  4. Step 4: Simplify right side
    8,202.19x = 52,277,221.30
  5. Step 5: Solve for x
    x = 52,277,221.30/8,202.19
  6. Step 6: Final answer
    x = 6,373.57

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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.