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Finding the Fourth Proportional to 10,219.70, 14,103.23 and 5,744.99

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Solution

The fourth proportional to 10,219.70, 14,103.23 and 5,744.99 is: 7,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.70 : 14,103.23 = 5,744.99 : x
  2. Step 2: Convert to fraction form
    10,219.70/14,103.23 = 5,744.99/x
  3. Step 3: Cross multiply
    10,219.70x = 14,103.23 × 5,744.99
  4. Step 4: Simplify right side
    10,219.70x = 81,022,816.08
  5. Step 5: Solve for x
    x = 81,022,816.08/10,219.70
  6. Step 6: Final answer
    x = 7,928.11

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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.