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Finding the Fourth Proportional to 10,369.67, 14,311.16 and 6,122.13

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Solution

The fourth proportional to 10,369.67, 14,311.16 and 6,122.13 is: 8,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.67 : 14,311.16 = 6,122.13 : x
  2. Step 2: Convert to fraction form
    10,369.67/14,311.16 = 6,122.13/x
  3. Step 3: Cross multiply
    10,369.67x = 14,311.16 × 6,122.13
  4. Step 4: Simplify right side
    10,369.67x = 87,614,755.09
  5. Step 5: Solve for x
    x = 87,614,755.09/10,369.67
  6. Step 6: Final answer
    x = 8,449.14

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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.