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Finding the Fourth Proportional to 10,148.63, 15,223.37 and 3,906.41

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Solution

The fourth proportional to 10,148.63, 15,223.37 and 3,906.41 is: 5,859.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.63 : 15,223.37 = 3,906.41 : x
  2. Step 2: Convert to fraction form
    10,148.63/15,223.37 = 3,906.41/x
  3. Step 3: Cross multiply
    10,148.63x = 15,223.37 × 3,906.41
  4. Step 4: Simplify right side
    10,148.63x = 59,468,629.15
  5. Step 5: Solve for x
    x = 59,468,629.15/10,148.63
  6. Step 6: Final answer
    x = 5,859.77

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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.