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Finding the Fourth Proportional to 8,175.55, 12,258.05 and 3,498.61

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Solution

The fourth proportional to 8,175.55, 12,258.05 and 3,498.61 is: 5,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.55 : 12,258.05 = 3,498.61 : x
  2. Step 2: Convert to fraction form
    8,175.55/12,258.05 = 3,498.61/x
  3. Step 3: Cross multiply
    8,175.55x = 12,258.05 × 3,498.61
  4. Step 4: Simplify right side
    8,175.55x = 42,886,136.31
  5. Step 5: Solve for x
    x = 42,886,136.31/8,175.55
  6. Step 6: Final answer
    x = 5,245.66

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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.