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Finding the Fourth Proportional to 10,372.05, 14,313.11 and 5,895.99

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Solution

The fourth proportional to 10,372.05, 14,313.11 and 5,895.99 is: 8,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.05 : 14,313.11 = 5,895.99 : x
  2. Step 2: Convert to fraction form
    10,372.05/14,313.11 = 5,895.99/x
  3. Step 3: Cross multiply
    10,372.05x = 14,313.11 × 5,895.99
  4. Step 4: Simplify right side
    10,372.05x = 84,389,923.95
  5. Step 5: Solve for x
    x = 84,389,923.95/10,372.05
  6. Step 6: Final answer
    x = 8,136.28

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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.