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Finding the Fourth Proportional to 8,224.23, 12,325.55 and 7,164.75

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Solution

The fourth proportional to 8,224.23, 12,325.55 and 7,164.75 is: 10,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.23 : 12,325.55 = 7,164.75 : x
  2. Step 2: Convert to fraction form
    8,224.23/12,325.55 = 7,164.75/x
  3. Step 3: Cross multiply
    8,224.23x = 12,325.55 × 7,164.75
  4. Step 4: Simplify right side
    8,224.23x = 88,309,448.54
  5. Step 5: Solve for x
    x = 88,309,448.54/8,224.23
  6. Step 6: Final answer
    x = 10,737.72

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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.