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Finding the Fourth Proportional to 8,189.67, 11,298.18 and 5,203.90

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Solution

The fourth proportional to 8,189.67, 11,298.18 and 5,203.90 is: 7,179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.67 : 11,298.18 = 5,203.90 : x
  2. Step 2: Convert to fraction form
    8,189.67/11,298.18 = 5,203.90/x
  3. Step 3: Cross multiply
    8,189.67x = 11,298.18 × 5,203.90
  4. Step 4: Simplify right side
    8,189.67x = 58,794,616.65
  5. Step 5: Solve for x
    x = 58,794,616.65/8,189.67
  6. Step 6: Final answer
    x = 7,179.12

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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.