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Finding the Fourth Proportional to 8,232.48, 12,349.62 and 2,309.76

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Solution

The fourth proportional to 8,232.48, 12,349.62 and 2,309.76 is: 3,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.48 : 12,349.62 = 2,309.76 : x
  2. Step 2: Convert to fraction form
    8,232.48/12,349.62 = 2,309.76/x
  3. Step 3: Cross multiply
    8,232.48x = 12,349.62 × 2,309.76
  4. Step 4: Simplify right side
    8,232.48x = 28,524,658.29
  5. Step 5: Solve for x
    x = 28,524,658.29/8,232.48
  6. Step 6: Final answer
    x = 3,464.89

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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.