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Finding the Fourth Proportional to 8,131.69, 12,199.23 and 4,623.31

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Solution

The fourth proportional to 8,131.69, 12,199.23 and 4,623.31 is: 6,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.69 : 12,199.23 = 4,623.31 : x
  2. Step 2: Convert to fraction form
    8,131.69/12,199.23 = 4,623.31/x
  3. Step 3: Cross multiply
    8,131.69x = 12,199.23 × 4,623.31
  4. Step 4: Simplify right side
    8,131.69x = 56,400,822.05
  5. Step 5: Solve for x
    x = 56,400,822.05/8,131.69
  6. Step 6: Final answer
    x = 6,935.93

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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.