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Finding the Fourth Proportional to 10,909.32, 16,362.36 and 3,512.82

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Solution

The fourth proportional to 10,909.32, 16,362.36 and 3,512.82 is: 5,268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.32 : 16,362.36 = 3,512.82 : x
  2. Step 2: Convert to fraction form
    10,909.32/16,362.36 = 3,512.82/x
  3. Step 3: Cross multiply
    10,909.32x = 16,362.36 × 3,512.82
  4. Step 4: Simplify right side
    10,909.32x = 57,478,025.46
  5. Step 5: Solve for x
    x = 57,478,025.46/10,909.32
  6. Step 6: Final answer
    x = 5,268.71

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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.