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Finding the Fourth Proportional to 7,778.82, 11,668.88 and 2,847.27

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Solution

The fourth proportional to 7,778.82, 11,668.88 and 2,847.27 is: 4,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.82 : 11,668.88 = 2,847.27 : x
  2. Step 2: Convert to fraction form
    7,778.82/11,668.88 = 2,847.27/x
  3. Step 3: Cross multiply
    7,778.82x = 11,668.88 × 2,847.27
  4. Step 4: Simplify right side
    7,778.82x = 33,224,459.08
  5. Step 5: Solve for x
    x = 33,224,459.08/7,778.82
  6. Step 6: Final answer
    x = 4,271.14

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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.