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Finding the Fourth Proportional to 7,771.95, 11,654.51 and 2,224.04

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Solution

The fourth proportional to 7,771.95, 11,654.51 and 2,224.04 is: 3,335.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.95 : 11,654.51 = 2,224.04 : x
  2. Step 2: Convert to fraction form
    7,771.95/11,654.51 = 2,224.04/x
  3. Step 3: Cross multiply
    7,771.95x = 11,654.51 × 2,224.04
  4. Step 4: Simplify right side
    7,771.95x = 25,920,027.03
  5. Step 5: Solve for x
    x = 25,920,027.03/7,771.95
  6. Step 6: Final answer
    x = 3,335.07

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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.