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Finding the Fourth Proportional to 7,768.96, 10,730.24 and 7,022.72

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Solution

The fourth proportional to 7,768.96, 10,730.24 and 7,022.72 is: 9,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.96 : 10,730.24 = 7,022.72 : x
  2. Step 2: Convert to fraction form
    7,768.96/10,730.24 = 7,022.72/x
  3. Step 3: Cross multiply
    7,768.96x = 10,730.24 × 7,022.72
  4. Step 4: Simplify right side
    7,768.96x = 75,355,471.05
  5. Step 5: Solve for x
    x = 75,355,471.05/7,768.96
  6. Step 6: Final answer
    x = 9,699.56

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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.