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Finding the Fourth Proportional to 12,080.16, 18,122.28 and 3,758.58

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Solution

The fourth proportional to 12,080.16, 18,122.28 and 3,758.58 is: 5,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,080.16 : 18,122.28 = 3,758.58 : x
  2. Step 2: Convert to fraction form
    12,080.16/18,122.28 = 3,758.58/x
  3. Step 3: Cross multiply
    12,080.16x = 18,122.28 × 3,758.58
  4. Step 4: Simplify right side
    12,080.16x = 68,114,039.16
  5. Step 5: Solve for x
    x = 68,114,039.16/12,080.16
  6. Step 6: Final answer
    x = 5,638.50

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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.