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Finding the Fourth Proportional to 8,204.56, 12,304.24 and 2,656.56

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Solution

The fourth proportional to 8,204.56, 12,304.24 and 2,656.56 is: 3,984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.56 : 12,304.24 = 2,656.56 : x
  2. Step 2: Convert to fraction form
    8,204.56/12,304.24 = 2,656.56/x
  3. Step 3: Cross multiply
    8,204.56x = 12,304.24 × 2,656.56
  4. Step 4: Simplify right side
    8,204.56x = 32,686,951.81
  5. Step 5: Solve for x
    x = 32,686,951.81/8,204.56
  6. Step 6: Final answer
    x = 3,984.00

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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.