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Finding the Fourth Proportional to 7,760.91, 11,637.98 and 2,213.02

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Solution

The fourth proportional to 7,760.91, 11,637.98 and 2,213.02 is: 3,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.91 : 11,637.98 = 2,213.02 : x
  2. Step 2: Convert to fraction form
    7,760.91/11,637.98 = 2,213.02/x
  3. Step 3: Cross multiply
    7,760.91x = 11,637.98 × 2,213.02
  4. Step 4: Simplify right side
    7,760.91x = 25,755,094.28
  5. Step 5: Solve for x
    x = 25,755,094.28/7,760.91
  6. Step 6: Final answer
    x = 3,318.56

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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.