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Finding the Fourth Proportional to 10,165.62, 15,244.63 and 3,500.25

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Solution

The fourth proportional to 10,165.62, 15,244.63 and 3,500.25 is: 5,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.62 : 15,244.63 = 3,500.25 : x
  2. Step 2: Convert to fraction form
    10,165.62/15,244.63 = 3,500.25/x
  3. Step 3: Cross multiply
    10,165.62x = 15,244.63 × 3,500.25
  4. Step 4: Simplify right side
    10,165.62x = 53,360,016.16
  5. Step 5: Solve for x
    x = 53,360,016.16/10,165.62
  6. Step 6: Final answer
    x = 5,249.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.