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Finding the Fourth Proportional to 7,778.64, 11,668.08 and 2,232.48

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Solution

The fourth proportional to 7,778.64, 11,668.08 and 2,232.48 is: 3,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.64 : 11,668.08 = 2,232.48 : x
  2. Step 2: Convert to fraction form
    7,778.64/11,668.08 = 2,232.48/x
  3. Step 3: Cross multiply
    7,778.64x = 11,668.08 × 2,232.48
  4. Step 4: Simplify right side
    7,778.64x = 26,048,755.24
  5. Step 5: Solve for x
    x = 26,048,755.24/7,778.64
  6. Step 6: Final answer
    x = 3,348.75

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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.