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Finding the Fourth Proportional to 8,000.96, 11,042.44 and 5,770.22

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Solution

The fourth proportional to 8,000.96, 11,042.44 and 5,770.22 is: 7,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.96 : 11,042.44 = 5,770.22 : x
  2. Step 2: Convert to fraction form
    8,000.96/11,042.44 = 5,770.22/x
  3. Step 3: Cross multiply
    8,000.96x = 11,042.44 × 5,770.22
  4. Step 4: Simplify right side
    8,000.96x = 63,717,238.50
  5. Step 5: Solve for x
    x = 63,717,238.50/8,000.96
  6. Step 6: Final answer
    x = 7,963.70

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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.