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Finding the Fourth Proportional to 7,771.90, 11,656.05 and 2,224.21

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Solution

The fourth proportional to 7,771.90, 11,656.05 and 2,224.21 is: 3,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.90 : 11,656.05 = 2,224.21 : x
  2. Step 2: Convert to fraction form
    7,771.90/11,656.05 = 2,224.21/x
  3. Step 3: Cross multiply
    7,771.90x = 11,656.05 × 2,224.21
  4. Step 4: Simplify right side
    7,771.90x = 25,925,502.97
  5. Step 5: Solve for x
    x = 25,925,502.97/7,771.90
  6. Step 6: Final answer
    x = 3,335.80

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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.