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Finding the Fourth Proportional to 7,309.13, 10,083.98 and 4,163.50

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Solution

The fourth proportional to 7,309.13, 10,083.98 and 4,163.50 is: 5,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.13 : 10,083.98 = 4,163.50 : x
  2. Step 2: Convert to fraction form
    7,309.13/10,083.98 = 4,163.50/x
  3. Step 3: Cross multiply
    7,309.13x = 10,083.98 × 4,163.50
  4. Step 4: Simplify right side
    7,309.13x = 41,984,579.49
  5. Step 5: Solve for x
    x = 41,984,579.49/7,309.13
  6. Step 6: Final answer
    x = 5,744.13

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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.