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Finding the Fourth Proportional to 10,438.05, 15,657.02 and 3,422.94

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Solution

The fourth proportional to 10,438.05, 15,657.02 and 3,422.94 is: 5,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.05 : 15,657.02 = 3,422.94 : x
  2. Step 2: Convert to fraction form
    10,438.05/15,657.02 = 3,422.94/x
  3. Step 3: Cross multiply
    10,438.05x = 15,657.02 × 3,422.94
  4. Step 4: Simplify right side
    10,438.05x = 53,593,022.92
  5. Step 5: Solve for x
    x = 53,593,022.92/10,438.05
  6. Step 6: Final answer
    x = 5,134.39

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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.