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Finding the Fourth Proportional to 11,431.68, 17,148.89 and 4,034.61

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Solution

The fourth proportional to 11,431.68, 17,148.89 and 4,034.61 is: 6,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.68 : 17,148.89 = 4,034.61 : x
  2. Step 2: Convert to fraction form
    11,431.68/17,148.89 = 4,034.61/x
  3. Step 3: Cross multiply
    11,431.68x = 17,148.89 × 4,034.61
  4. Step 4: Simplify right side
    11,431.68x = 69,189,083.08
  5. Step 5: Solve for x
    x = 69,189,083.08/11,431.68
  6. Step 6: Final answer
    x = 6,052.40

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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.