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Finding the Fourth Proportional to 8,074.80, 11,141.34 and 6,188.34

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Solution

The fourth proportional to 8,074.80, 11,141.34 and 6,188.34 is: 8,538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.80 : 11,141.34 = 6,188.34 : x
  2. Step 2: Convert to fraction form
    8,074.80/11,141.34 = 6,188.34/x
  3. Step 3: Cross multiply
    8,074.80x = 11,141.34 × 6,188.34
  4. Step 4: Simplify right side
    8,074.80x = 68,946,399.98
  5. Step 5: Solve for x
    x = 68,946,399.98/8,074.80
  6. Step 6: Final answer
    x = 8,538.47

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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.