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Finding the Fourth Proportional to 7,830.96, 10,814.80 and 6,766.56

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Solution

The fourth proportional to 7,830.96, 10,814.80 and 6,766.56 is: 9,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.96 : 10,814.80 = 6,766.56 : x
  2. Step 2: Convert to fraction form
    7,830.96/10,814.80 = 6,766.56/x
  3. Step 3: Cross multiply
    7,830.96x = 10,814.80 × 6,766.56
  4. Step 4: Simplify right side
    7,830.96x = 73,178,993.09
  5. Step 5: Solve for x
    x = 73,178,993.09/7,830.96
  6. Step 6: Final answer
    x = 9,344.83

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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.