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Finding the Fourth Proportional to 10,428.37, 15,644.05 and 3,406.66

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Solution

The fourth proportional to 10,428.37, 15,644.05 and 3,406.66 is: 5,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.37 : 15,644.05 = 3,406.66 : x
  2. Step 2: Convert to fraction form
    10,428.37/15,644.05 = 3,406.66/x
  3. Step 3: Cross multiply
    10,428.37x = 15,644.05 × 3,406.66
  4. Step 4: Simplify right side
    10,428.37x = 53,293,911.75
  5. Step 5: Solve for x
    x = 53,293,911.75/10,428.37
  6. Step 6: Final answer
    x = 5,110.48

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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.