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Finding the Fourth Proportional to 11,205.10, 15,463.08 and 6,169.82

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Solution

The fourth proportional to 11,205.10, 15,463.08 and 6,169.82 is: 8,514.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.10 : 15,463.08 = 6,169.82 : x
  2. Step 2: Convert to fraction form
    11,205.10/15,463.08 = 6,169.82/x
  3. Step 3: Cross multiply
    11,205.10x = 15,463.08 × 6,169.82
  4. Step 4: Simplify right side
    11,205.10x = 95,404,420.25
  5. Step 5: Solve for x
    x = 95,404,420.25/11,205.10
  6. Step 6: Final answer
    x = 8,514.37

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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.