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Finding the Fourth Proportional to 7,727.70, 11,591.41 and 2,462.63

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Solution

The fourth proportional to 7,727.70, 11,591.41 and 2,462.63 is: 3,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.70 : 11,591.41 = 2,462.63 : x
  2. Step 2: Convert to fraction form
    7,727.70/11,591.41 = 2,462.63/x
  3. Step 3: Cross multiply
    7,727.70x = 11,591.41 × 2,462.63
  4. Step 4: Simplify right side
    7,727.70x = 28,545,389.14
  5. Step 5: Solve for x
    x = 28,545,389.14/7,727.70
  6. Step 6: Final answer
    x = 3,693.91

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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.