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Finding the Fourth Proportional to 10,650.31, 14,697.83 and 5,934.89

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Solution

The fourth proportional to 10,650.31, 14,697.83 and 5,934.89 is: 8,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.31 : 14,697.83 = 5,934.89 : x
  2. Step 2: Convert to fraction form
    10,650.31/14,697.83 = 5,934.89/x
  3. Step 3: Cross multiply
    10,650.31x = 14,697.83 × 5,934.89
  4. Step 4: Simplify right side
    10,650.31x = 87,230,055.87
  5. Step 5: Solve for x
    x = 87,230,055.87/10,650.31
  6. Step 6: Final answer
    x = 8,190.38

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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.