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Finding the Fourth Proportional to 8,705.44, 12,002.56 and 5,906.08

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Solution

The fourth proportional to 8,705.44, 12,002.56 and 5,906.08 is: 8,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.44 : 12,002.56 = 5,906.08 : x
  2. Step 2: Convert to fraction form
    8,705.44/12,002.56 = 5,906.08/x
  3. Step 3: Cross multiply
    8,705.44x = 12,002.56 × 5,906.08
  4. Step 4: Simplify right side
    8,705.44x = 70,888,079.56
  5. Step 5: Solve for x
    x = 70,888,079.56/8,705.44
  6. Step 6: Final answer
    x = 8,142.96

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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.