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Finding the Fourth Proportional to 7,778.84, 11,661.63 and 3,393.02

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Solution

The fourth proportional to 7,778.84, 11,661.63 and 3,393.02 is: 5,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.84 : 11,661.63 = 3,393.02 : x
  2. Step 2: Convert to fraction form
    7,778.84/11,661.63 = 3,393.02/x
  3. Step 3: Cross multiply
    7,778.84x = 11,661.63 × 3,393.02
  4. Step 4: Simplify right side
    7,778.84x = 39,568,143.82
  5. Step 5: Solve for x
    x = 39,568,143.82/7,778.84
  6. Step 6: Final answer
    x = 5,086.64

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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.