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Finding the Fourth Proportional to 11,101.68, 16,647.64 and 5,906.32

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Solution

The fourth proportional to 11,101.68, 16,647.64 and 5,906.32 is: 8,856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,101.68 : 16,647.64 = 5,906.32 : x
  2. Step 2: Convert to fraction form
    11,101.68/16,647.64 = 5,906.32/x
  3. Step 3: Cross multiply
    11,101.68x = 16,647.64 × 5,906.32
  4. Step 4: Simplify right side
    11,101.68x = 98,326,289.08
  5. Step 5: Solve for x
    x = 98,326,289.08/11,101.68
  6. Step 6: Final answer
    x = 8,856.88

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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.