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Finding the Fourth Proportional to 8,442.39, 11,650.90 and 5,086.25

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Solution

The fourth proportional to 8,442.39, 11,650.90 and 5,086.25 is: 7,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.39 : 11,650.90 = 5,086.25 : x
  2. Step 2: Convert to fraction form
    8,442.39/11,650.90 = 5,086.25/x
  3. Step 3: Cross multiply
    8,442.39x = 11,650.90 × 5,086.25
  4. Step 4: Simplify right side
    8,442.39x = 59,259,331.87
  5. Step 5: Solve for x
    x = 59,259,331.87/8,442.39
  6. Step 6: Final answer
    x = 7,019.26

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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.