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Finding the Fourth Proportional to 7,361.78, 11,044.47 and 2,682.50

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Solution

The fourth proportional to 7,361.78, 11,044.47 and 2,682.50 is: 4,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.78 : 11,044.47 = 2,682.50 : x
  2. Step 2: Convert to fraction form
    7,361.78/11,044.47 = 2,682.50/x
  3. Step 3: Cross multiply
    7,361.78x = 11,044.47 × 2,682.50
  4. Step 4: Simplify right side
    7,361.78x = 29,626,790.78
  5. Step 5: Solve for x
    x = 29,626,790.78/7,361.78
  6. Step 6: Final answer
    x = 4,024.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.