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Finding the Fourth Proportional to 7,774.20, 11,661.08 and 1,930.79

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Solution

The fourth proportional to 7,774.20, 11,661.08 and 1,930.79 is: 2,896.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.20 : 11,661.08 = 1,930.79 : x
  2. Step 2: Convert to fraction form
    7,774.20/11,661.08 = 1,930.79/x
  3. Step 3: Cross multiply
    7,774.20x = 11,661.08 × 1,930.79
  4. Step 4: Simplify right side
    7,774.20x = 22,515,096.65
  5. Step 5: Solve for x
    x = 22,515,096.65/7,774.20
  6. Step 6: Final answer
    x = 2,896.13

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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.