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Finding the Fourth Proportional to 8,461.20, 12,695.04 and 3,529.44

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Solution

The fourth proportional to 8,461.20, 12,695.04 and 3,529.44 is: 5,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.20 : 12,695.04 = 3,529.44 : x
  2. Step 2: Convert to fraction form
    8,461.20/12,695.04 = 3,529.44/x
  3. Step 3: Cross multiply
    8,461.20x = 12,695.04 × 3,529.44
  4. Step 4: Simplify right side
    8,461.20x = 44,806,381.98
  5. Step 5: Solve for x
    x = 44,806,381.98/8,461.20
  6. Step 6: Final answer
    x = 5,295.51

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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.