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Finding the Fourth Proportional to 7,576.71, 11,369.01 and 5,727.27

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Solution

The fourth proportional to 7,576.71, 11,369.01 and 5,727.27 is: 8,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.71 : 11,369.01 = 5,727.27 : x
  2. Step 2: Convert to fraction form
    7,576.71/11,369.01 = 5,727.27/x
  3. Step 3: Cross multiply
    7,576.71x = 11,369.01 × 5,727.27
  4. Step 4: Simplify right side
    7,576.71x = 65,113,389.90
  5. Step 5: Solve for x
    x = 65,113,389.90/7,576.71
  6. Step 6: Final answer
    x = 8,593.89

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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.