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Finding the Fourth Proportional to 8,022.20, 12,024.78 and 3,089.70

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Solution

The fourth proportional to 8,022.20, 12,024.78 and 3,089.70 is: 4,631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.20 : 12,024.78 = 3,089.70 : x
  2. Step 2: Convert to fraction form
    8,022.20/12,024.78 = 3,089.70/x
  3. Step 3: Cross multiply
    8,022.20x = 12,024.78 × 3,089.70
  4. Step 4: Simplify right side
    8,022.20x = 37,152,962.77
  5. Step 5: Solve for x
    x = 37,152,962.77/8,022.20
  6. Step 6: Final answer
    x = 4,631.27

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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.