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Finding the Fourth Proportional to 7,775.69, 11,660.78 and 3,392.16

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Solution

The fourth proportional to 7,775.69, 11,660.78 and 3,392.16 is: 5,087.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.69 : 11,660.78 = 3,392.16 : x
  2. Step 2: Convert to fraction form
    7,775.69/11,660.78 = 3,392.16/x
  3. Step 3: Cross multiply
    7,775.69x = 11,660.78 × 3,392.16
  4. Step 4: Simplify right side
    7,775.69x = 39,555,214.52
  5. Step 5: Solve for x
    x = 39,555,214.52/7,775.69
  6. Step 6: Final answer
    x = 5,087.04

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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.