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Finding the Fourth Proportional to 10,428.57, 15,644.56 and 3,406.54

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Solution

The fourth proportional to 10,428.57, 15,644.56 and 3,406.54 is: 5,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.57 : 15,644.56 = 3,406.54 : x
  2. Step 2: Convert to fraction form
    10,428.57/15,644.56 = 3,406.54/x
  3. Step 3: Cross multiply
    10,428.57x = 15,644.56 × 3,406.54
  4. Step 4: Simplify right side
    10,428.57x = 53,293,841.93
  5. Step 5: Solve for x
    x = 53,293,841.93/10,428.57
  6. Step 6: Final answer
    x = 5,110.37

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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.