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Finding the Fourth Proportional to 7,727.81, 11,591.57 and 7,125.84

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Solution

The fourth proportional to 7,727.81, 11,591.57 and 7,125.84 is: 10,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.81 : 11,591.57 = 7,125.84 : x
  2. Step 2: Convert to fraction form
    7,727.81/11,591.57 = 7,125.84/x
  3. Step 3: Cross multiply
    7,727.81x = 11,591.57 × 7,125.84
  4. Step 4: Simplify right side
    7,727.81x = 82,599,690.98
  5. Step 5: Solve for x
    x = 82,599,690.98/7,727.81
  6. Step 6: Final answer
    x = 10,688.64

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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.