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Finding the Fourth Proportional to 8,143.74, 11,243.42 and 6,251.72

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Solution

The fourth proportional to 8,143.74, 11,243.42 and 6,251.72 is: 8,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.74 : 11,243.42 = 6,251.72 : x
  2. Step 2: Convert to fraction form
    8,143.74/11,243.42 = 6,251.72/x
  3. Step 3: Cross multiply
    8,143.74x = 11,243.42 × 6,251.72
  4. Step 4: Simplify right side
    8,143.74x = 70,290,626.21
  5. Step 5: Solve for x
    x = 70,290,626.21/8,143.74
  6. Step 6: Final answer
    x = 8,631.25

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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.