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Finding the Fourth Proportional to 10,103.80, 13,944.89 and 7,709.24

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Solution

The fourth proportional to 10,103.80, 13,944.89 and 7,709.24 is: 10,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.80 : 13,944.89 = 7,709.24 : x
  2. Step 2: Convert to fraction form
    10,103.80/13,944.89 = 7,709.24/x
  3. Step 3: Cross multiply
    10,103.80x = 13,944.89 × 7,709.24
  4. Step 4: Simplify right side
    10,103.80x = 107,504,479.48
  5. Step 5: Solve for x
    x = 107,504,479.48/10,103.80
  6. Step 6: Final answer
    x = 10,640.01

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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.