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Finding the Fourth Proportional to 10,258.02, 15,372.42 and 5,067.54

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Solution

The fourth proportional to 10,258.02, 15,372.42 and 5,067.54 is: 7,594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.02 : 15,372.42 = 5,067.54 : x
  2. Step 2: Convert to fraction form
    10,258.02/15,372.42 = 5,067.54/x
  3. Step 3: Cross multiply
    10,258.02x = 15,372.42 × 5,067.54
  4. Step 4: Simplify right side
    10,258.02x = 77,900,353.25
  5. Step 5: Solve for x
    x = 77,900,353.25/10,258.02
  6. Step 6: Final answer
    x = 7,594.09

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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.