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Finding the Fourth Proportional to 11,441.88, 17,159.76 and 3,648.78

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Solution

The fourth proportional to 11,441.88, 17,159.76 and 3,648.78 is: 5,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.88 : 17,159.76 = 3,648.78 : x
  2. Step 2: Convert to fraction form
    11,441.88/17,159.76 = 3,648.78/x
  3. Step 3: Cross multiply
    11,441.88x = 17,159.76 × 3,648.78
  4. Step 4: Simplify right side
    11,441.88x = 62,612,189.09
  5. Step 5: Solve for x
    x = 62,612,189.09/11,441.88
  6. Step 6: Final answer
    x = 5,472.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.