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Finding the Fourth Proportional to 8,083.16, 12,122.80 and 2,240.24

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Solution

The fourth proportional to 8,083.16, 12,122.80 and 2,240.24 is: 3,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.16 : 12,122.80 = 2,240.24 : x
  2. Step 2: Convert to fraction form
    8,083.16/12,122.80 = 2,240.24/x
  3. Step 3: Cross multiply
    8,083.16x = 12,122.80 × 2,240.24
  4. Step 4: Simplify right side
    8,083.16x = 27,157,981.47
  5. Step 5: Solve for x
    x = 27,157,981.47/8,083.16
  6. Step 6: Final answer
    x = 3,359.82

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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.