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Finding the Fourth Proportional to 8,225.84, 12,337.80 and 3,295.28

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Solution

The fourth proportional to 8,225.84, 12,337.80 and 3,295.28 is: 4,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.84 : 12,337.80 = 3,295.28 : x
  2. Step 2: Convert to fraction form
    8,225.84/12,337.80 = 3,295.28/x
  3. Step 3: Cross multiply
    8,225.84x = 12,337.80 × 3,295.28
  4. Step 4: Simplify right side
    8,225.84x = 40,656,505.58
  5. Step 5: Solve for x
    x = 40,656,505.58/8,225.84
  6. Step 6: Final answer
    x = 4,942.54

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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.