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Finding the Fourth Proportional to 10,512.81, 15,767.24 and 3,937.59

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Solution

The fourth proportional to 10,512.81, 15,767.24 and 3,937.59 is: 5,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.81 : 15,767.24 = 3,937.59 : x
  2. Step 2: Convert to fraction form
    10,512.81/15,767.24 = 3,937.59/x
  3. Step 3: Cross multiply
    10,512.81x = 15,767.24 × 3,937.59
  4. Step 4: Simplify right side
    10,512.81x = 62,084,906.86
  5. Step 5: Solve for x
    x = 62,084,906.86/10,512.81
  6. Step 6: Final answer
    x = 5,905.64

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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.