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Finding the Fourth Proportional to 8,286.42, 11,430.95 and 5,137.14

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Solution

The fourth proportional to 8,286.42, 11,430.95 and 5,137.14 is: 7,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.42 : 11,430.95 = 5,137.14 : x
  2. Step 2: Convert to fraction form
    8,286.42/11,430.95 = 5,137.14/x
  3. Step 3: Cross multiply
    8,286.42x = 11,430.95 × 5,137.14
  4. Step 4: Simplify right side
    8,286.42x = 58,722,390.48
  5. Step 5: Solve for x
    x = 58,722,390.48/8,286.42
  6. Step 6: Final answer
    x = 7,086.58

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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.