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Finding the Fourth Proportional to 8,291.97, 11,443.14 and 4,515.29

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Solution

The fourth proportional to 8,291.97, 11,443.14 and 4,515.29 is: 6,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.97 : 11,443.14 = 4,515.29 : x
  2. Step 2: Convert to fraction form
    8,291.97/11,443.14 = 4,515.29/x
  3. Step 3: Cross multiply
    8,291.97x = 11,443.14 × 4,515.29
  4. Step 4: Simplify right side
    8,291.97x = 51,669,145.67
  5. Step 5: Solve for x
    x = 51,669,145.67/8,291.97
  6. Step 6: Final answer
    x = 6,231.23

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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.