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Finding the Fourth Proportional to 11,129.75, 16,703.09 and 4,116.40

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Solution

The fourth proportional to 11,129.75, 16,703.09 and 4,116.40 is: 6,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,129.75 : 16,703.09 = 4,116.40 : x
  2. Step 2: Convert to fraction form
    11,129.75/16,703.09 = 4,116.40/x
  3. Step 3: Cross multiply
    11,129.75x = 16,703.09 × 4,116.40
  4. Step 4: Simplify right side
    11,129.75x = 68,756,669.88
  5. Step 5: Solve for x
    x = 68,756,669.88/11,129.75
  6. Step 6: Final answer
    x = 6,177.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.