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Finding the Fourth Proportional to 8,228.52, 12,342.76 and 2,756.52

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Solution

The fourth proportional to 8,228.52, 12,342.76 and 2,756.52 is: 4,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.52 : 12,342.76 = 2,756.52 : x
  2. Step 2: Convert to fraction form
    8,228.52/12,342.76 = 2,756.52/x
  3. Step 3: Cross multiply
    8,228.52x = 12,342.76 × 2,756.52
  4. Step 4: Simplify right side
    8,228.52x = 34,023,064.80
  5. Step 5: Solve for x
    x = 34,023,064.80/8,228.52
  6. Step 6: Final answer
    x = 4,134.77

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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.