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Finding the Fourth Proportional to 11,342.38, 17,012.64 and 7,170.22

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Solution

The fourth proportional to 11,342.38, 17,012.64 and 7,170.22 is: 10,754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.38 : 17,012.64 = 7,170.22 : x
  2. Step 2: Convert to fraction form
    11,342.38/17,012.64 = 7,170.22/x
  3. Step 3: Cross multiply
    11,342.38x = 17,012.64 × 7,170.22
  4. Step 4: Simplify right side
    11,342.38x = 121,984,371.58
  5. Step 5: Solve for x
    x = 121,984,371.58/11,342.38
  6. Step 6: Final answer
    x = 10,754.74

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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.