Home / 10,102.38-13,941.28-5,911.44

Finding the Fourth Proportional to 10,102.38, 13,941.28 and 5,911.44

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Solution

The fourth proportional to 10,102.38, 13,941.28 and 5,911.44 is: 8,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.38 : 13,941.28 = 5,911.44 : x
  2. Step 2: Convert to fraction form
    10,102.38/13,941.28 = 5,911.44/x
  3. Step 3: Cross multiply
    10,102.38x = 13,941.28 × 5,911.44
  4. Step 4: Simplify right side
    10,102.38x = 82,413,040.24
  5. Step 5: Solve for x
    x = 82,413,040.24/10,102.38
  6. Step 6: Final answer
    x = 8,157.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.