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Finding the Fourth Proportional to 11,099.95, 16,652.25 and 3,202.38

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Solution

The fourth proportional to 11,099.95, 16,652.25 and 3,202.38 is: 4,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,099.95 : 16,652.25 = 3,202.38 : x
  2. Step 2: Convert to fraction form
    11,099.95/16,652.25 = 3,202.38/x
  3. Step 3: Cross multiply
    11,099.95x = 16,652.25 × 3,202.38
  4. Step 4: Simplify right side
    11,099.95x = 53,326,832.36
  5. Step 5: Solve for x
    x = 53,326,832.36/11,099.95
  6. Step 6: Final answer
    x = 4,804.24

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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.