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Finding the Fourth Proportional to 10,893.18, 15,033.84 and 6,114.39

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Solution

The fourth proportional to 10,893.18, 15,033.84 and 6,114.39 is: 8,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.18 : 15,033.84 = 6,114.39 : x
  2. Step 2: Convert to fraction form
    10,893.18/15,033.84 = 6,114.39/x
  3. Step 3: Cross multiply
    10,893.18x = 15,033.84 × 6,114.39
  4. Step 4: Simplify right side
    10,893.18x = 91,922,760.96
  5. Step 5: Solve for x
    x = 91,922,760.96/10,893.18
  6. Step 6: Final answer
    x = 8,438.56

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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.