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Finding the Fourth Proportional to 11,494.10, 17,239.86 and 4,098.38

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Solution

The fourth proportional to 11,494.10, 17,239.86 and 4,098.38 is: 6,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.10 : 17,239.86 = 4,098.38 : x
  2. Step 2: Convert to fraction form
    11,494.10/17,239.86 = 4,098.38/x
  3. Step 3: Cross multiply
    11,494.10x = 17,239.86 × 4,098.38
  4. Step 4: Simplify right side
    11,494.10x = 70,655,497.43
  5. Step 5: Solve for x
    x = 70,655,497.43/11,494.10
  6. Step 6: Final answer
    x = 6,147.11

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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.