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Finding the Fourth Proportional to 7,785.88, 11,679.72 and 2,857.84

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Solution

The fourth proportional to 7,785.88, 11,679.72 and 2,857.84 is: 4,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.88 : 11,679.72 = 2,857.84 : x
  2. Step 2: Convert to fraction form
    7,785.88/11,679.72 = 2,857.84/x
  3. Step 3: Cross multiply
    7,785.88x = 11,679.72 × 2,857.84
  4. Step 4: Simplify right side
    7,785.88x = 33,378,771.00
  5. Step 5: Solve for x
    x = 33,378,771.00/7,785.88
  6. Step 6: Final answer
    x = 4,287.09

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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.