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Finding the Fourth Proportional to 8,361.00, 11,538.54 and 5,003.17

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Solution

The fourth proportional to 8,361.00, 11,538.54 and 5,003.17 is: 6,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.00 : 11,538.54 = 5,003.17 : x
  2. Step 2: Convert to fraction form
    8,361.00/11,538.54 = 5,003.17/x
  3. Step 3: Cross multiply
    8,361.00x = 11,538.54 × 5,003.17
  4. Step 4: Simplify right side
    8,361.00x = 57,729,241.29
  5. Step 5: Solve for x
    x = 57,729,241.29/8,361.00
  6. Step 6: Final answer
    x = 6,904.59

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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.