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Finding the Fourth Proportional to 7,716.74, 11,572.72 and 2,785.75

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Solution

The fourth proportional to 7,716.74, 11,572.72 and 2,785.75 is: 4,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.74 : 11,572.72 = 2,785.75 : x
  2. Step 2: Convert to fraction form
    7,716.74/11,572.72 = 2,785.75/x
  3. Step 3: Cross multiply
    7,716.74x = 11,572.72 × 2,785.75
  4. Step 4: Simplify right side
    7,716.74x = 32,238,668.84
  5. Step 5: Solve for x
    x = 32,238,668.84/7,716.74
  6. Step 6: Final answer
    x = 4,177.76

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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.