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Finding the Fourth Proportional to 8,442.89, 11,651.59 and 5,086.74

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Solution

The fourth proportional to 8,442.89, 11,651.59 and 5,086.74 is: 7,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.89 : 11,651.59 = 5,086.74 : x
  2. Step 2: Convert to fraction form
    8,442.89/11,651.59 = 5,086.74/x
  3. Step 3: Cross multiply
    8,442.89x = 11,651.59 × 5,086.74
  4. Step 4: Simplify right side
    8,442.89x = 59,268,608.92
  5. Step 5: Solve for x
    x = 59,268,608.92/8,442.89
  6. Step 6: Final answer
    x = 7,019.94

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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.