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Finding the Fourth Proportional to 10,310.54, 15,462.73 and 5,377.49

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Solution

The fourth proportional to 10,310.54, 15,462.73 and 5,377.49 is: 8,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.54 : 15,462.73 = 5,377.49 : x
  2. Step 2: Convert to fraction form
    10,310.54/15,462.73 = 5,377.49/x
  3. Step 3: Cross multiply
    10,310.54x = 15,462.73 × 5,377.49
  4. Step 4: Simplify right side
    10,310.54x = 83,150,649.06
  5. Step 5: Solve for x
    x = 83,150,649.06/10,310.54
  6. Step 6: Final answer
    x = 8,064.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.