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Finding the Fourth Proportional to 7,666.71, 11,502.18 and 2,736.83

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Solution

The fourth proportional to 7,666.71, 11,502.18 and 2,736.83 is: 4,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.71 : 11,502.18 = 2,736.83 : x
  2. Step 2: Convert to fraction form
    7,666.71/11,502.18 = 2,736.83/x
  3. Step 3: Cross multiply
    7,666.71x = 11,502.18 × 2,736.83
  4. Step 4: Simplify right side
    7,666.71x = 31,479,453.78
  5. Step 5: Solve for x
    x = 31,479,453.78/7,666.71
  6. Step 6: Final answer
    x = 4,105.99

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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.