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Finding the Fourth Proportional to 10,049.78, 13,868.62 and 5,573.54

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Solution

The fourth proportional to 10,049.78, 13,868.62 and 5,573.54 is: 7,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.78 : 13,868.62 = 5,573.54 : x
  2. Step 2: Convert to fraction form
    10,049.78/13,868.62 = 5,573.54/x
  3. Step 3: Cross multiply
    10,049.78x = 13,868.62 × 5,573.54
  4. Step 4: Simplify right side
    10,049.78x = 77,297,308.31
  5. Step 5: Solve for x
    x = 77,297,308.31/10,049.78
  6. Step 6: Final answer
    x = 7,691.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.