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Finding the Fourth Proportional to 10,806.01, 16,209.84 and 4,145.69

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Solution

The fourth proportional to 10,806.01, 16,209.84 and 4,145.69 is: 6,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.01 : 16,209.84 = 4,145.69 : x
  2. Step 2: Convert to fraction form
    10,806.01/16,209.84 = 4,145.69/x
  3. Step 3: Cross multiply
    10,806.01x = 16,209.84 × 4,145.69
  4. Step 4: Simplify right side
    10,806.01x = 67,200,981.95
  5. Step 5: Solve for x
    x = 67,200,981.95/10,806.01
  6. Step 6: Final answer
    x = 6,218.86

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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.