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Finding the Fourth Proportional to 8,048.69, 12,065.70 and 5,966.18

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Solution

The fourth proportional to 8,048.69, 12,065.70 and 5,966.18 is: 8,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.69 : 12,065.70 = 5,966.18 : x
  2. Step 2: Convert to fraction form
    8,048.69/12,065.70 = 5,966.18/x
  3. Step 3: Cross multiply
    8,048.69x = 12,065.70 × 5,966.18
  4. Step 4: Simplify right side
    8,048.69x = 71,986,138.03
  5. Step 5: Solve for x
    x = 71,986,138.03/8,048.69
  6. Step 6: Final answer
    x = 8,943.83

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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.