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Finding the Fourth Proportional to 11,538.78, 17,310.49 and 4,143.82

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Solution

The fourth proportional to 11,538.78, 17,310.49 and 4,143.82 is: 6,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.78 : 17,310.49 = 4,143.82 : x
  2. Step 2: Convert to fraction form
    11,538.78/17,310.49 = 4,143.82/x
  3. Step 3: Cross multiply
    11,538.78x = 17,310.49 × 4,143.82
  4. Step 4: Simplify right side
    11,538.78x = 71,731,554.67
  5. Step 5: Solve for x
    x = 71,731,554.67/11,538.78
  6. Step 6: Final answer
    x = 6,216.56

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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.