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Finding the Fourth Proportional to 10,003.10, 13,806.20 and 5,757.02

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Solution

The fourth proportional to 10,003.10, 13,806.20 and 5,757.02 is: 7,945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.10 : 13,806.20 = 5,757.02 : x
  2. Step 2: Convert to fraction form
    10,003.10/13,806.20 = 5,757.02/x
  3. Step 3: Cross multiply
    10,003.10x = 13,806.20 × 5,757.02
  4. Step 4: Simplify right side
    10,003.10x = 79,482,471.71
  5. Step 5: Solve for x
    x = 79,482,471.71/10,003.10
  6. Step 6: Final answer
    x = 7,945.79

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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.