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Finding the Fourth Proportional to 10,375.91, 14,321.81 and 5,902.15

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Solution

The fourth proportional to 10,375.91, 14,321.81 and 5,902.15 is: 8,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.91 : 14,321.81 = 5,902.15 : x
  2. Step 2: Convert to fraction form
    10,375.91/14,321.81 = 5,902.15/x
  3. Step 3: Cross multiply
    10,375.91x = 14,321.81 × 5,902.15
  4. Step 4: Simplify right side
    10,375.91x = 84,529,369.77
  5. Step 5: Solve for x
    x = 84,529,369.77/10,375.91
  6. Step 6: Final answer
    x = 8,146.69

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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.