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Finding the Fourth Proportional to 12,102.57, 16,701.39 and 6,797.34

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Solution

The fourth proportional to 12,102.57, 16,701.39 and 6,797.34 is: 9,380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.57 : 16,701.39 = 6,797.34 : x
  2. Step 2: Convert to fraction form
    12,102.57/16,701.39 = 6,797.34/x
  3. Step 3: Cross multiply
    12,102.57x = 16,701.39 × 6,797.34
  4. Step 4: Simplify right side
    12,102.57x = 113,525,026.30
  5. Step 5: Solve for x
    x = 113,525,026.30/12,102.57
  6. Step 6: Final answer
    x = 9,380.24

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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.