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Finding the Fourth Proportional to 12,102.80, 16,703.28 and 6,797.59

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Solution

The fourth proportional to 12,102.80, 16,703.28 and 6,797.59 is: 9,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.80 : 16,703.28 = 6,797.59 : x
  2. Step 2: Convert to fraction form
    12,102.80/16,703.28 = 6,797.59/x
  3. Step 3: Cross multiply
    12,102.80x = 16,703.28 × 6,797.59
  4. Step 4: Simplify right side
    12,102.80x = 113,542,007.34
  5. Step 5: Solve for x
    x = 113,542,007.34/12,102.80
  6. Step 6: Final answer
    x = 9,381.47

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