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Finding the Fourth Proportional to 8,046.27, 12,069 and 2,202.93

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Solution

The fourth proportional to 8,046.27, 12,069 and 2,202.93 is: 3,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.27 : 12,069 = 2,202.93 : x
  2. Step 2: Convert to fraction form
    8,046.27/12,069 = 2,202.93/x
  3. Step 3: Cross multiply
    8,046.27x = 12,069 × 2,202.93
  4. Step 4: Simplify right side
    8,046.27x = 26,587,162.17
  5. Step 5: Solve for x
    x = 26,587,162.17/8,046.27
  6. Step 6: Final answer
    x = 3,304.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.