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Finding the Fourth Proportional to 7,086.74, 9,783.27 and 5,489.82

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Solution

The fourth proportional to 7,086.74, 9,783.27 and 5,489.82 is: 7,578.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.74 : 9,783.27 = 5,489.82 : x
  2. Step 2: Convert to fraction form
    7,086.74/9,783.27 = 5,489.82/x
  3. Step 3: Cross multiply
    7,086.74x = 9,783.27 × 5,489.82
  4. Step 4: Simplify right side
    7,086.74x = 53,708,391.31
  5. Step 5: Solve for x
    x = 53,708,391.31/7,086.74
  6. Step 6: Final answer
    x = 7,578.72

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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.