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Finding the Fourth Proportional to 8,529.76, 12,789.24 and 3,602.80

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Solution

The fourth proportional to 8,529.76, 12,789.24 and 3,602.80 is: 5,401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.76 : 12,789.24 = 3,602.80 : x
  2. Step 2: Convert to fraction form
    8,529.76/12,789.24 = 3,602.80/x
  3. Step 3: Cross multiply
    8,529.76x = 12,789.24 × 3,602.80
  4. Step 4: Simplify right side
    8,529.76x = 46,077,073.87
  5. Step 5: Solve for x
    x = 46,077,073.87/8,529.76
  6. Step 6: Final answer
    x = 5,401.92

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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.