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Finding the Fourth Proportional to 10,100.25, 15,146.24 and 3,524.22

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Solution

The fourth proportional to 10,100.25, 15,146.24 and 3,524.22 is: 5,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.25 : 15,146.24 = 3,524.22 : x
  2. Step 2: Convert to fraction form
    10,100.25/15,146.24 = 3,524.22/x
  3. Step 3: Cross multiply
    10,100.25x = 15,146.24 × 3,524.22
  4. Step 4: Simplify right side
    10,100.25x = 53,378,664.31
  5. Step 5: Solve for x
    x = 53,378,664.31/10,100.25
  6. Step 6: Final answer
    x = 5,284.89

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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.