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Finding the Fourth Proportional to 7,770.96, 10,723.62 and 4,234.08

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Solution

The fourth proportional to 7,770.96, 10,723.62 and 4,234.08 is: 5,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.96 : 10,723.62 = 4,234.08 : x
  2. Step 2: Convert to fraction form
    7,770.96/10,723.62 = 4,234.08/x
  3. Step 3: Cross multiply
    7,770.96x = 10,723.62 × 4,234.08
  4. Step 4: Simplify right side
    7,770.96x = 45,404,664.97
  5. Step 5: Solve for x
    x = 45,404,664.97/7,770.96
  6. Step 6: Final answer
    x = 5,842.86

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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.