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Finding the Fourth Proportional to 8,202.86, 12,304.57 and 2,656.25

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Solution

The fourth proportional to 8,202.86, 12,304.57 and 2,656.25 is: 3,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.86 : 12,304.57 = 2,656.25 : x
  2. Step 2: Convert to fraction form
    8,202.86/12,304.57 = 2,656.25/x
  3. Step 3: Cross multiply
    8,202.86x = 12,304.57 × 2,656.25
  4. Step 4: Simplify right side
    8,202.86x = 32,684,014.06
  5. Step 5: Solve for x
    x = 32,684,014.06/8,202.86
  6. Step 6: Final answer
    x = 3,984.47

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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.