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Finding the Fourth Proportional to 10,055.26, 15,084.26 and 5,840.49

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Solution

The fourth proportional to 10,055.26, 15,084.26 and 5,840.49 is: 8,761.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.26 : 15,084.26 = 5,840.49 : x
  2. Step 2: Convert to fraction form
    10,055.26/15,084.26 = 5,840.49/x
  3. Step 3: Cross multiply
    10,055.26x = 15,084.26 × 5,840.49
  4. Step 4: Simplify right side
    10,055.26x = 88,099,469.69
  5. Step 5: Solve for x
    x = 88,099,469.69/10,055.26
  6. Step 6: Final answer
    x = 8,761.53

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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.