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Finding the Fourth Proportional to 8,361.17, 11,538.93 and 5,523.54

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Solution

The fourth proportional to 8,361.17, 11,538.93 and 5,523.54 is: 7,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.17 : 11,538.93 = 5,523.54 : x
  2. Step 2: Convert to fraction form
    8,361.17/11,538.93 = 5,523.54/x
  3. Step 3: Cross multiply
    8,361.17x = 11,538.93 × 5,523.54
  4. Step 4: Simplify right side
    8,361.17x = 63,735,768.23
  5. Step 5: Solve for x
    x = 63,735,768.23/8,361.17
  6. Step 6: Final answer
    x = 7,622.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.