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Finding the Fourth Proportional to 10,806.84, 16,209.96 and 3,015.42

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Solution

The fourth proportional to 10,806.84, 16,209.96 and 3,015.42 is: 4,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.84 : 16,209.96 = 3,015.42 : x
  2. Step 2: Convert to fraction form
    10,806.84/16,209.96 = 3,015.42/x
  3. Step 3: Cross multiply
    10,806.84x = 16,209.96 × 3,015.42
  4. Step 4: Simplify right side
    10,806.84x = 48,879,837.58
  5. Step 5: Solve for x
    x = 48,879,837.58/10,806.84
  6. Step 6: Final answer
    x = 4,523.05

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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.