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Finding the Fourth Proportional to 10,099.24, 13,936.82 and 5,907.49

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Solution

The fourth proportional to 10,099.24, 13,936.82 and 5,907.49 is: 8,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.24 : 13,936.82 = 5,907.49 : x
  2. Step 2: Convert to fraction form
    10,099.24/13,936.82 = 5,907.49/x
  3. Step 3: Cross multiply
    10,099.24x = 13,936.82 × 5,907.49
  4. Step 4: Simplify right side
    10,099.24x = 82,331,560.40
  5. Step 5: Solve for x
    x = 82,331,560.40/10,099.24
  6. Step 6: Final answer
    x = 8,152.26

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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.