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Finding the Fourth Proportional to 7,760.42, 11,640.75 and 2,213.53

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Solution

The fourth proportional to 7,760.42, 11,640.75 and 2,213.53 is: 3,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.42 : 11,640.75 = 2,213.53 : x
  2. Step 2: Convert to fraction form
    7,760.42/11,640.75 = 2,213.53/x
  3. Step 3: Cross multiply
    7,760.42x = 11,640.75 × 2,213.53
  4. Step 4: Simplify right side
    7,760.42x = 25,767,111.94
  5. Step 5: Solve for x
    x = 25,767,111.94/7,760.42
  6. Step 6: Final answer
    x = 3,320.32

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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.