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Finding the Fourth Proportional to 7,123.86, 10,682.13 and 4,163.31

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Solution

The fourth proportional to 7,123.86, 10,682.13 and 4,163.31 is: 6,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.86 : 10,682.13 = 4,163.31 : x
  2. Step 2: Convert to fraction form
    7,123.86/10,682.13 = 4,163.31/x
  3. Step 3: Cross multiply
    7,123.86x = 10,682.13 × 4,163.31
  4. Step 4: Simplify right side
    7,123.86x = 44,473,018.65
  5. Step 5: Solve for x
    x = 44,473,018.65/7,123.86
  6. Step 6: Final answer
    x = 6,242.83

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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.