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Finding the Fourth Proportional to 8,624.96, 11,902.84 and 5,042.24

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Solution

The fourth proportional to 8,624.96, 11,902.84 and 5,042.24 is: 6,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.96 : 11,902.84 = 5,042.24 : x
  2. Step 2: Convert to fraction form
    8,624.96/11,902.84 = 5,042.24/x
  3. Step 3: Cross multiply
    8,624.96x = 11,902.84 × 5,042.24
  4. Step 4: Simplify right side
    8,624.96x = 60,016,975.96
  5. Step 5: Solve for x
    x = 60,016,975.96/8,624.96
  6. Step 6: Final answer
    x = 6,958.52

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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.