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Finding the Fourth Proportional to 8,362.74, 12,542.02 and 3,433.76

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Solution

The fourth proportional to 8,362.74, 12,542.02 and 3,433.76 is: 5,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.74 : 12,542.02 = 3,433.76 : x
  2. Step 2: Convert to fraction form
    8,362.74/12,542.02 = 3,433.76/x
  3. Step 3: Cross multiply
    8,362.74x = 12,542.02 × 3,433.76
  4. Step 4: Simplify right side
    8,362.74x = 43,066,215.30
  5. Step 5: Solve for x
    x = 43,066,215.30/8,362.74
  6. Step 6: Final answer
    x = 5,149.77

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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.