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Finding the Fourth Proportional to 8,286.96, 11,435.48 and 5,142

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Solution

The fourth proportional to 8,286.96, 11,435.48 and 5,142 is: 7,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.96 : 11,435.48 = 5,142 : x
  2. Step 2: Convert to fraction form
    8,286.96/11,435.48 = 5,142/x
  3. Step 3: Cross multiply
    8,286.96x = 11,435.48 × 5,142
  4. Step 4: Simplify right side
    8,286.96x = 58,801,238.16
  5. Step 5: Solve for x
    x = 58,801,238.16/8,286.96
  6. Step 6: Final answer
    x = 7,095.63

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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.