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Finding the Fourth Proportional to 7,756.41, 11,639.83 and 7,727.87

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Solution

The fourth proportional to 7,756.41, 11,639.83 and 7,727.87 is: 11,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.41 : 11,639.83 = 7,727.87 : x
  2. Step 2: Convert to fraction form
    7,756.41/11,639.83 = 7,727.87/x
  3. Step 3: Cross multiply
    7,756.41x = 11,639.83 × 7,727.87
  4. Step 4: Simplify right side
    7,756.41x = 89,951,093.06
  5. Step 5: Solve for x
    x = 89,951,093.06/7,756.41
  6. Step 6: Final answer
    x = 11,597.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.