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Finding the Fourth Proportional to 8,231.10, 12,346.65 and 7,323.90

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Solution

The fourth proportional to 8,231.10, 12,346.65 and 7,323.90 is: 10,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.10 : 12,346.65 = 7,323.90 : x
  2. Step 2: Convert to fraction form
    8,231.10/12,346.65 = 7,323.90/x
  3. Step 3: Cross multiply
    8,231.10x = 12,346.65 × 7,323.90
  4. Step 4: Simplify right side
    8,231.10x = 90,425,629.94
  5. Step 5: Solve for x
    x = 90,425,629.94/8,231.10
  6. Step 6: Final answer
    x = 10,985.85

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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.