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Finding the Fourth Proportional to 10,462.96, 15,694.79 and 3,800.81

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Solution

The fourth proportional to 10,462.96, 15,694.79 and 3,800.81 is: 5,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.96 : 15,694.79 = 3,800.81 : x
  2. Step 2: Convert to fraction form
    10,462.96/15,694.79 = 3,800.81/x
  3. Step 3: Cross multiply
    10,462.96x = 15,694.79 × 3,800.81
  4. Step 4: Simplify right side
    10,462.96x = 59,652,914.78
  5. Step 5: Solve for x
    x = 59,652,914.78/10,462.96
  6. Step 6: Final answer
    x = 5,701.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.