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Finding the Fourth Proportional to 10,592.28, 15,889.18 and 2,801

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Solution

The fourth proportional to 10,592.28, 15,889.18 and 2,801 is: 4,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.28 : 15,889.18 = 2,801 : x
  2. Step 2: Convert to fraction form
    10,592.28/15,889.18 = 2,801/x
  3. Step 3: Cross multiply
    10,592.28x = 15,889.18 × 2,801
  4. Step 4: Simplify right side
    10,592.28x = 44,505,593.18
  5. Step 5: Solve for x
    x = 44,505,593.18/10,592.28
  6. Step 6: Final answer
    x = 4,201.70

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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.