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Finding the Fourth Proportional to 11,098.83, 16,648.39 and 6,199.66

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Solution

The fourth proportional to 11,098.83, 16,648.39 and 6,199.66 is: 9,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.83 : 16,648.39 = 6,199.66 : x
  2. Step 2: Convert to fraction form
    11,098.83/16,648.39 = 6,199.66/x
  3. Step 3: Cross multiply
    11,098.83x = 16,648.39 × 6,199.66
  4. Step 4: Simplify right side
    11,098.83x = 103,214,274.31
  5. Step 5: Solve for x
    x = 103,214,274.31/11,098.83
  6. Step 6: Final answer
    x = 9,299.56

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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.