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Finding the Fourth Proportional to 11,209.82, 15,472.28 and 6,496.83

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Solution

The fourth proportional to 11,209.82, 15,472.28 and 6,496.83 is: 8,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.82 : 15,472.28 = 6,496.83 : x
  2. Step 2: Convert to fraction form
    11,209.82/15,472.28 = 6,496.83/x
  3. Step 3: Cross multiply
    11,209.82x = 15,472.28 × 6,496.83
  4. Step 4: Simplify right side
    11,209.82x = 100,520,789.11
  5. Step 5: Solve for x
    x = 100,520,789.11/11,209.82
  6. Step 6: Final answer
    x = 8,967.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.