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Finding the Fourth Proportional to 10,863.75, 14,991.99 and 5,895.75

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Solution

The fourth proportional to 10,863.75, 14,991.99 and 5,895.75 is: 8,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.75 : 14,991.99 = 5,895.75 : x
  2. Step 2: Convert to fraction form
    10,863.75/14,991.99 = 5,895.75/x
  3. Step 3: Cross multiply
    10,863.75x = 14,991.99 × 5,895.75
  4. Step 4: Simplify right side
    10,863.75x = 88,389,025.04
  5. Step 5: Solve for x
    x = 88,389,025.04/10,863.75
  6. Step 6: Final answer
    x = 8,136.14

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Why These Related Problems?

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