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Finding the Fourth Proportional to 8,022.20, 12,044.10 and 5,106.20

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Solution

The fourth proportional to 8,022.20, 12,044.10 and 5,106.20 is: 7,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.20 : 12,044.10 = 5,106.20 : x
  2. Step 2: Convert to fraction form
    8,022.20/12,044.10 = 5,106.20/x
  3. Step 3: Cross multiply
    8,022.20x = 12,044.10 × 5,106.20
  4. Step 4: Simplify right side
    8,022.20x = 61,499,583.42
  5. Step 5: Solve for x
    x = 61,499,583.42/8,022.20
  6. Step 6: Final answer
    x = 7,666.17

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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.