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Finding the Fourth Proportional to 10,049.99, 13,868.84 and 5,573.82

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Solution

The fourth proportional to 10,049.99, 13,868.84 and 5,573.82 is: 7,691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.99 : 13,868.84 = 5,573.82 : x
  2. Step 2: Convert to fraction form
    10,049.99/13,868.84 = 5,573.82/x
  3. Step 3: Cross multiply
    10,049.99x = 13,868.84 × 5,573.82
  4. Step 4: Simplify right side
    10,049.99x = 77,302,431.70
  5. Step 5: Solve for x
    x = 77,302,431.70/10,049.99
  6. Step 6: Final answer
    x = 7,691.80

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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.