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Finding the Fourth Proportional to 8,022.62, 12,035.91 and 2,475.74

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Solution

The fourth proportional to 8,022.62, 12,035.91 and 2,475.74 is: 3,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.62 : 12,035.91 = 2,475.74 : x
  2. Step 2: Convert to fraction form
    8,022.62/12,035.91 = 2,475.74/x
  3. Step 3: Cross multiply
    8,022.62x = 12,035.91 × 2,475.74
  4. Step 4: Simplify right side
    8,022.62x = 29,797,783.82
  5. Step 5: Solve for x
    x = 29,797,783.82/8,022.62
  6. Step 6: Final answer
    x = 3,714.22

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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.