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Finding the Fourth Proportional to 10,175.49, 15,273.09 and 4,914.20

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Solution

The fourth proportional to 10,175.49, 15,273.09 and 4,914.20 is: 7,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.49 : 15,273.09 = 4,914.20 : x
  2. Step 2: Convert to fraction form
    10,175.49/15,273.09 = 4,914.20/x
  3. Step 3: Cross multiply
    10,175.49x = 15,273.09 × 4,914.20
  4. Step 4: Simplify right side
    10,175.49x = 75,055,057.06
  5. Step 5: Solve for x
    x = 75,055,057.06/10,175.49
  6. Step 6: Final answer
    x = 7,376.06

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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.