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Finding the Fourth Proportional to 8,225.23, 12,327.04 and 7,165.75

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Solution

The fourth proportional to 8,225.23, 12,327.04 and 7,165.75 is: 10,739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.23 : 12,327.04 = 7,165.75 : x
  2. Step 2: Convert to fraction form
    8,225.23/12,327.04 = 7,165.75/x
  3. Step 3: Cross multiply
    8,225.23x = 12,327.04 × 7,165.75
  4. Step 4: Simplify right side
    8,225.23x = 88,332,486.88
  5. Step 5: Solve for x
    x = 88,332,486.88/8,225.23
  6. Step 6: Final answer
    x = 10,739.21

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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.