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Finding the Fourth Proportional to 8,665.40, 12,996.78 and 2,822

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Solution

The fourth proportional to 8,665.40, 12,996.78 and 2,822 is: 4,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.40 : 12,996.78 = 2,822 : x
  2. Step 2: Convert to fraction form
    8,665.40/12,996.78 = 2,822/x
  3. Step 3: Cross multiply
    8,665.40x = 12,996.78 × 2,822
  4. Step 4: Simplify right side
    8,665.40x = 36,676,913.16
  5. Step 5: Solve for x
    x = 36,676,913.16/8,665.40
  6. Step 6: Final answer
    x = 4,232.57

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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.