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Finding the Fourth Proportional to 10,189.91, 14,064.57 and 6,213.21

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Solution

The fourth proportional to 10,189.91, 14,064.57 and 6,213.21 is: 8,575.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.91 : 14,064.57 = 6,213.21 : x
  2. Step 2: Convert to fraction form
    10,189.91/14,064.57 = 6,213.21/x
  3. Step 3: Cross multiply
    10,189.91x = 14,064.57 × 6,213.21
  4. Step 4: Simplify right side
    10,189.91x = 87,386,126.97
  5. Step 5: Solve for x
    x = 87,386,126.97/10,189.91
  6. Step 6: Final answer
    x = 8,575.75

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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.