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Finding the Fourth Proportional to 7,767.78, 11,645.23 and 3,084.90

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Solution

The fourth proportional to 7,767.78, 11,645.23 and 3,084.90 is: 4,624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.78 : 11,645.23 = 3,084.90 : x
  2. Step 2: Convert to fraction form
    7,767.78/11,645.23 = 3,084.90/x
  3. Step 3: Cross multiply
    7,767.78x = 11,645.23 × 3,084.90
  4. Step 4: Simplify right side
    7,767.78x = 35,924,391.43
  5. Step 5: Solve for x
    x = 35,924,391.43/7,767.78
  6. Step 6: Final answer
    x = 4,624.79

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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.