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Finding the Fourth Proportional to 7,789.62, 11,684.04 and 2,858.87

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Solution

The fourth proportional to 7,789.62, 11,684.04 and 2,858.87 is: 4,288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.62 : 11,684.04 = 2,858.87 : x
  2. Step 2: Convert to fraction form
    7,789.62/11,684.04 = 2,858.87/x
  3. Step 3: Cross multiply
    7,789.62x = 11,684.04 × 2,858.87
  4. Step 4: Simplify right side
    7,789.62x = 33,403,151.43
  5. Step 5: Solve for x
    x = 33,403,151.43/7,789.62
  6. Step 6: Final answer
    x = 4,288.16

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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.