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Finding the Fourth Proportional to 8,215.97, 11,314.15 and 7,138.74

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Solution

The fourth proportional to 8,215.97, 11,314.15 and 7,138.74 is: 9,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.97 : 11,314.15 = 7,138.74 : x
  2. Step 2: Convert to fraction form
    8,215.97/11,314.15 = 7,138.74/x
  3. Step 3: Cross multiply
    8,215.97x = 11,314.15 × 7,138.74
  4. Step 4: Simplify right side
    8,215.97x = 80,768,757.32
  5. Step 5: Solve for x
    x = 80,768,757.32/8,215.97
  6. Step 6: Final answer
    x = 9,830.70

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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.