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Finding the Fourth Proportional to 10,153.50, 15,230.34 and 3,997.50

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Solution

The fourth proportional to 10,153.50, 15,230.34 and 3,997.50 is: 5,996.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.50 : 15,230.34 = 3,997.50 : x
  2. Step 2: Convert to fraction form
    10,153.50/15,230.34 = 3,997.50/x
  3. Step 3: Cross multiply
    10,153.50x = 15,230.34 × 3,997.50
  4. Step 4: Simplify right side
    10,153.50x = 60,883,284.15
  5. Step 5: Solve for x
    x = 60,883,284.15/10,153.50
  6. Step 6: Final answer
    x = 5,996.29

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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.