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Finding the Fourth Proportional to 11,131.35, 16,705.49 and 4,118.00

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Solution

The fourth proportional to 11,131.35, 16,705.49 and 4,118.00 is: 6,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.35 : 16,705.49 = 4,118.00 : x
  2. Step 2: Convert to fraction form
    11,131.35/16,705.49 = 4,118.00/x
  3. Step 3: Cross multiply
    11,131.35x = 16,705.49 × 4,118.00
  4. Step 4: Simplify right side
    11,131.35x = 68,793,103.70
  5. Step 5: Solve for x
    x = 68,793,103.70/11,131.35
  6. Step 6: Final answer
    x = 6,180.12

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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.