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Finding the Fourth Proportional to 10,133.86, 15,201.90 and 3,558.28

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Solution

The fourth proportional to 10,133.86, 15,201.90 and 3,558.28 is: 5,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.86 : 15,201.90 = 3,558.28 : x
  2. Step 2: Convert to fraction form
    10,133.86/15,201.90 = 3,558.28/x
  3. Step 3: Cross multiply
    10,133.86x = 15,201.90 × 3,558.28
  4. Step 4: Simplify right side
    10,133.86x = 54,092,616.73
  5. Step 5: Solve for x
    x = 54,092,616.73/10,133.86
  6. Step 6: Final answer
    x = 5,337.81

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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.