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Finding the Fourth Proportional to 7,039.67, 10,563.17 and 5,107.82

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Solution

The fourth proportional to 7,039.67, 10,563.17 and 5,107.82 is: 7,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.67 : 10,563.17 = 5,107.82 : x
  2. Step 2: Convert to fraction form
    7,039.67/10,563.17 = 5,107.82/x
  3. Step 3: Cross multiply
    7,039.67x = 10,563.17 × 5,107.82
  4. Step 4: Simplify right side
    7,039.67x = 53,954,692.63
  5. Step 5: Solve for x
    x = 53,954,692.63/7,039.67
  6. Step 6: Final answer
    x = 7,664.38

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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.