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Finding the Fourth Proportional to 10,107.43, 15,162.74 and 3,533.22

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Solution

The fourth proportional to 10,107.43, 15,162.74 and 3,533.22 is: 5,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.43 : 15,162.74 = 3,533.22 : x
  2. Step 2: Convert to fraction form
    10,107.43/15,162.74 = 3,533.22/x
  3. Step 3: Cross multiply
    10,107.43x = 15,162.74 × 3,533.22
  4. Step 4: Simplify right side
    10,107.43x = 53,573,311.68
  5. Step 5: Solve for x
    x = 53,573,311.68/10,107.43
  6. Step 6: Final answer
    x = 5,300.39

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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.