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Finding the Fourth Proportional to 11,202.30, 15,463.68 and 8,180.14

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Solution

The fourth proportional to 11,202.30, 15,463.68 and 8,180.14 is: 11,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.30 : 15,463.68 = 8,180.14 : x
  2. Step 2: Convert to fraction form
    11,202.30/15,463.68 = 8,180.14/x
  3. Step 3: Cross multiply
    11,202.30x = 15,463.68 × 8,180.14
  4. Step 4: Simplify right side
    11,202.30x = 126,495,095.99
  5. Step 5: Solve for x
    x = 126,495,095.99/11,202.30
  6. Step 6: Final answer
    x = 11,291.89

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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.