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Finding the Fourth Proportional to 8,071.49, 11,138.79 and 4,534.70

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Solution

The fourth proportional to 8,071.49, 11,138.79 and 4,534.70 is: 6,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.49 : 11,138.79 = 4,534.70 : x
  2. Step 2: Convert to fraction form
    8,071.49/11,138.79 = 4,534.70/x
  3. Step 3: Cross multiply
    8,071.49x = 11,138.79 × 4,534.70
  4. Step 4: Simplify right side
    8,071.49x = 50,511,071.01
  5. Step 5: Solve for x
    x = 50,511,071.01/8,071.49
  6. Step 6: Final answer
    x = 6,257.96

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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.