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Finding the Fourth Proportional to 8,078.70, 11,138.67 and 6,581.10

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Solution

The fourth proportional to 8,078.70, 11,138.67 and 6,581.10 is: 9,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.70 : 11,138.67 = 6,581.10 : x
  2. Step 2: Convert to fraction form
    8,078.70/11,138.67 = 6,581.10/x
  3. Step 3: Cross multiply
    8,078.70x = 11,138.67 × 6,581.10
  4. Step 4: Simplify right side
    8,078.70x = 73,304,701.14
  5. Step 5: Solve for x
    x = 73,304,701.14/8,078.70
  6. Step 6: Final answer
    x = 9,073.82

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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.