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Finding the Fourth Proportional to 7,778.39, 11,668.86 and 2,854.94

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Solution

The fourth proportional to 7,778.39, 11,668.86 and 2,854.94 is: 4,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.39 : 11,668.86 = 2,854.94 : x
  2. Step 2: Convert to fraction form
    7,778.39/11,668.86 = 2,854.94/x
  3. Step 3: Cross multiply
    7,778.39x = 11,668.86 × 2,854.94
  4. Step 4: Simplify right side
    7,778.39x = 33,313,836.82
  5. Step 5: Solve for x
    x = 33,313,836.82/7,778.39
  6. Step 6: Final answer
    x = 4,282.87

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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.