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Finding the Fourth Proportional to 7,785.96, 11,684.97 and 2,858.82

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Solution

The fourth proportional to 7,785.96, 11,684.97 and 2,858.82 is: 4,290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.96 : 11,684.97 = 2,858.82 : x
  2. Step 2: Convert to fraction form
    7,785.96/11,684.97 = 2,858.82/x
  3. Step 3: Cross multiply
    7,785.96x = 11,684.97 × 2,858.82
  4. Step 4: Simplify right side
    7,785.96x = 33,405,225.94
  5. Step 5: Solve for x
    x = 33,405,225.94/7,785.96
  6. Step 6: Final answer
    x = 4,290.44

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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.