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Finding the Fourth Proportional to 8,203.28, 12,304.83 and 2,656.50

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Solution

The fourth proportional to 8,203.28, 12,304.83 and 2,656.50 is: 3,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.28 : 12,304.83 = 2,656.50 : x
  2. Step 2: Convert to fraction form
    8,203.28/12,304.83 = 2,656.50/x
  3. Step 3: Cross multiply
    8,203.28x = 12,304.83 × 2,656.50
  4. Step 4: Simplify right side
    8,203.28x = 32,687,780.90
  5. Step 5: Solve for x
    x = 32,687,780.90/8,203.28
  6. Step 6: Final answer
    x = 3,984.72

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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.