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Finding the Fourth Proportional to 7,769.15, 11,594.01 and 7,724.78

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Solution

The fourth proportional to 7,769.15, 11,594.01 and 7,724.78 is: 11,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.15 : 11,594.01 = 7,724.78 : x
  2. Step 2: Convert to fraction form
    7,769.15/11,594.01 = 7,724.78/x
  3. Step 3: Cross multiply
    7,769.15x = 11,594.01 × 7,724.78
  4. Step 4: Simplify right side
    7,769.15x = 89,561,212.81
  5. Step 5: Solve for x
    x = 89,561,212.81/7,769.15
  6. Step 6: Final answer
    x = 11,527.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.