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Finding the Fourth Proportional to 11,133.85, 16,701.27 and 6,199.78

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Solution

The fourth proportional to 11,133.85, 16,701.27 and 6,199.78 is: 9,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.85 : 16,701.27 = 6,199.78 : x
  2. Step 2: Convert to fraction form
    11,133.85/16,701.27 = 6,199.78/x
  3. Step 3: Cross multiply
    11,133.85x = 16,701.27 × 6,199.78
  4. Step 4: Simplify right side
    11,133.85x = 103,544,199.72
  5. Step 5: Solve for x
    x = 103,544,199.72/11,133.85
  6. Step 6: Final answer
    x = 9,299.95

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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.