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Finding the Fourth Proportional to 8,230.95, 11,371.62 and 5,397.27

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Solution

The fourth proportional to 8,230.95, 11,371.62 and 5,397.27 is: 7,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.95 : 11,371.62 = 5,397.27 : x
  2. Step 2: Convert to fraction form
    8,230.95/11,371.62 = 5,397.27/x
  3. Step 3: Cross multiply
    8,230.95x = 11,371.62 × 5,397.27
  4. Step 4: Simplify right side
    8,230.95x = 61,375,681.07
  5. Step 5: Solve for x
    x = 61,375,681.07/8,230.95
  6. Step 6: Final answer
    x = 7,456.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.