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Finding the Fourth Proportional to 8,371.82, 11,541.30 and 5,981.16

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Solution

The fourth proportional to 8,371.82, 11,541.30 and 5,981.16 is: 8,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.82 : 11,541.30 = 5,981.16 : x
  2. Step 2: Convert to fraction form
    8,371.82/11,541.30 = 5,981.16/x
  3. Step 3: Cross multiply
    8,371.82x = 11,541.30 × 5,981.16
  4. Step 4: Simplify right side
    8,371.82x = 69,030,274.30
  5. Step 5: Solve for x
    x = 69,030,274.30/8,371.82
  6. Step 6: Final answer
    x = 8,245.55

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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.