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Finding the Fourth Proportional to 10,067.95, 15,097.70 and 3,824.52

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Solution

The fourth proportional to 10,067.95, 15,097.70 and 3,824.52 is: 5,735.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.95 : 15,097.70 = 3,824.52 : x
  2. Step 2: Convert to fraction form
    10,067.95/15,097.70 = 3,824.52/x
  3. Step 3: Cross multiply
    10,067.95x = 15,097.70 × 3,824.52
  4. Step 4: Simplify right side
    10,067.95x = 57,741,387.04
  5. Step 5: Solve for x
    x = 57,741,387.04/10,067.95
  6. Step 6: Final answer
    x = 5,735.17

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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.