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Finding the Fourth Proportional to 8,361.88, 11,534.70 and 5,378.08

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Solution

The fourth proportional to 8,361.88, 11,534.70 and 5,378.08 is: 7,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.88 : 11,534.70 = 5,378.08 : x
  2. Step 2: Convert to fraction form
    8,361.88/11,534.70 = 5,378.08/x
  3. Step 3: Cross multiply
    8,361.88x = 11,534.70 × 5,378.08
  4. Step 4: Simplify right side
    8,361.88x = 62,034,539.38
  5. Step 5: Solve for x
    x = 62,034,539.38/8,361.88
  6. Step 6: Final answer
    x = 7,418.73

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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.