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Finding the Fourth Proportional to 12,758.25, 19,138.13 and 3,873.87

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Solution

The fourth proportional to 12,758.25, 19,138.13 and 3,873.87 is: 5,811.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.25 : 19,138.13 = 3,873.87 : x
  2. Step 2: Convert to fraction form
    12,758.25/19,138.13 = 3,873.87/x
  3. Step 3: Cross multiply
    12,758.25x = 19,138.13 × 3,873.87
  4. Step 4: Simplify right side
    12,758.25x = 74,138,696.30
  5. Step 5: Solve for x
    x = 74,138,696.30/12,758.25
  6. Step 6: Final answer
    x = 5,811.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.