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Finding the Fourth Proportional to 10,027, 15,040.86 and 3,101.32

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Solution

The fourth proportional to 10,027, 15,040.86 and 3,101.32 is: 4,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027 : 15,040.86 = 3,101.32 : x
  2. Step 2: Convert to fraction form
    10,027/15,040.86 = 3,101.32/x
  3. Step 3: Cross multiply
    10,027x = 15,040.86 × 3,101.32
  4. Step 4: Simplify right side
    10,027x = 46,646,519.94
  5. Step 5: Solve for x
    x = 46,646,519.94/10,027
  6. Step 6: Final answer
    x = 4,652.09

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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.