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Finding the Fourth Proportional to 10,909.68, 16,362.12 and 3,118.32

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Solution

The fourth proportional to 10,909.68, 16,362.12 and 3,118.32 is: 4,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.68 : 16,362.12 = 3,118.32 : x
  2. Step 2: Convert to fraction form
    10,909.68/16,362.12 = 3,118.32/x
  3. Step 3: Cross multiply
    10,909.68x = 16,362.12 × 3,118.32
  4. Step 4: Simplify right side
    10,909.68x = 51,022,326.04
  5. Step 5: Solve for x
    x = 51,022,326.04/10,909.68
  6. Step 6: Final answer
    x = 4,676.79

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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.