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Finding the Fourth Proportional to 10,199.11, 14,079.09 and 6,221.65

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Solution

The fourth proportional to 10,199.11, 14,079.09 and 6,221.65 is: 8,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.11 : 14,079.09 = 6,221.65 : x
  2. Step 2: Convert to fraction form
    10,199.11/14,079.09 = 6,221.65/x
  3. Step 3: Cross multiply
    10,199.11x = 14,079.09 × 6,221.65
  4. Step 4: Simplify right side
    10,199.11x = 87,595,170.30
  5. Step 5: Solve for x
    x = 87,595,170.30/10,199.11
  6. Step 6: Final answer
    x = 8,588.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.