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Finding the Fourth Proportional to 8,189.88, 11,302.03 and 4,463.88

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Solution

The fourth proportional to 8,189.88, 11,302.03 and 4,463.88 is: 6,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.88 : 11,302.03 = 4,463.88 : x
  2. Step 2: Convert to fraction form
    8,189.88/11,302.03 = 4,463.88/x
  3. Step 3: Cross multiply
    8,189.88x = 11,302.03 × 4,463.88
  4. Step 4: Simplify right side
    8,189.88x = 50,450,849.17
  5. Step 5: Solve for x
    x = 50,450,849.17/8,189.88
  6. Step 6: Final answer
    x = 6,160.15

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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.