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Finding the Fourth Proportional to 8,024.20, 12,029.10 and 5,252.20

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Solution

The fourth proportional to 8,024.20, 12,029.10 and 5,252.20 is: 7,873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.20 : 12,029.10 = 5,252.20 : x
  2. Step 2: Convert to fraction form
    8,024.20/12,029.10 = 5,252.20/x
  3. Step 3: Cross multiply
    8,024.20x = 12,029.10 × 5,252.20
  4. Step 4: Simplify right side
    8,024.20x = 63,179,239.02
  5. Step 5: Solve for x
    x = 63,179,239.02/8,024.20
  6. Step 6: Final answer
    x = 7,873.59

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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.