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Finding the Fourth Proportional to 10,049.37, 13,869.38 and 5,573.31

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Solution

The fourth proportional to 10,049.37, 13,869.38 and 5,573.31 is: 7,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.37 : 13,869.38 = 5,573.31 : x
  2. Step 2: Convert to fraction form
    10,049.37/13,869.38 = 5,573.31/x
  3. Step 3: Cross multiply
    10,049.37x = 13,869.38 × 5,573.31
  4. Step 4: Simplify right side
    10,049.37x = 77,298,284.82
  5. Step 5: Solve for x
    x = 77,298,284.82/10,049.37
  6. Step 6: Final answer
    x = 7,691.86

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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.