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Finding the Fourth Proportional to 12,116.80, 18,175.20 and 3,797.50

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Solution

The fourth proportional to 12,116.80, 18,175.20 and 3,797.50 is: 5,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.80 : 18,175.20 = 3,797.50 : x
  2. Step 2: Convert to fraction form
    12,116.80/18,175.20 = 3,797.50/x
  3. Step 3: Cross multiply
    12,116.80x = 18,175.20 × 3,797.50
  4. Step 4: Simplify right side
    12,116.80x = 69,020,322
  5. Step 5: Solve for x
    x = 69,020,322/12,116.80
  6. Step 6: Final answer
    x = 5,696.25

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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.