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Finding the Fourth Proportional to 8,071.43, 11,138.86 and 4,534.57

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Solution

The fourth proportional to 8,071.43, 11,138.86 and 4,534.57 is: 6,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.43 : 11,138.86 = 4,534.57 : x
  2. Step 2: Convert to fraction form
    8,071.43/11,138.86 = 4,534.57/x
  3. Step 3: Cross multiply
    8,071.43x = 11,138.86 × 4,534.57
  4. Step 4: Simplify right side
    8,071.43x = 50,509,940.39
  5. Step 5: Solve for x
    x = 50,509,940.39/8,071.43
  6. Step 6: Final answer
    x = 6,257.87

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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.