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Finding the Fourth Proportional to 10,505.38, 15,759.94 and 3,485.81

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Solution

The fourth proportional to 10,505.38, 15,759.94 and 3,485.81 is: 5,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.38 : 15,759.94 = 3,485.81 : x
  2. Step 2: Convert to fraction form
    10,505.38/15,759.94 = 3,485.81/x
  3. Step 3: Cross multiply
    10,505.38x = 15,759.94 × 3,485.81
  4. Step 4: Simplify right side
    10,505.38x = 54,936,204.57
  5. Step 5: Solve for x
    x = 54,936,204.57/10,505.38
  6. Step 6: Final answer
    x = 5,229.34

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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.