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Finding the Fourth Proportional to 10,143.18, 13,993.43 and 6,163.65

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Solution

The fourth proportional to 10,143.18, 13,993.43 and 6,163.65 is: 8,503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.18 : 13,993.43 = 6,163.65 : x
  2. Step 2: Convert to fraction form
    10,143.18/13,993.43 = 6,163.65/x
  3. Step 3: Cross multiply
    10,143.18x = 13,993.43 × 6,163.65
  4. Step 4: Simplify right side
    10,143.18x = 86,250,574.00
  5. Step 5: Solve for x
    x = 86,250,574.00/10,143.18
  6. Step 6: Final answer
    x = 8,503.31

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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.