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Finding the Fourth Proportional to 11,164.83, 16,735.50 and 3,766.70

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Solution

The fourth proportional to 11,164.83, 16,735.50 and 3,766.70 is: 5,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.83 : 16,735.50 = 3,766.70 : x
  2. Step 2: Convert to fraction form
    11,164.83/16,735.50 = 3,766.70/x
  3. Step 3: Cross multiply
    11,164.83x = 16,735.50 × 3,766.70
  4. Step 4: Simplify right side
    11,164.83x = 63,037,524.17
  5. Step 5: Solve for x
    x = 63,037,524.17/11,164.83
  6. Step 6: Final answer
    x = 5,646.08

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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.