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Finding the Fourth Proportional to 8,258.14, 11,387.67 and 7,067.07

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Solution

The fourth proportional to 8,258.14, 11,387.67 and 7,067.07 is: 9,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.14 : 11,387.67 = 7,067.07 : x
  2. Step 2: Convert to fraction form
    8,258.14/11,387.67 = 7,067.07/x
  3. Step 3: Cross multiply
    8,258.14x = 11,387.67 × 7,067.07
  4. Step 4: Simplify right side
    8,258.14x = 80,477,461.03
  5. Step 5: Solve for x
    x = 80,477,461.03/8,258.14
  6. Step 6: Final answer
    x = 9,745.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.