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Finding the Fourth Proportional to 8,226.72, 12,320.64 and 6,684.48

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Solution

The fourth proportional to 8,226.72, 12,320.64 and 6,684.48 is: 10,010.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.72 : 12,320.64 = 6,684.48 : x
  2. Step 2: Convert to fraction form
    8,226.72/12,320.64 = 6,684.48/x
  3. Step 3: Cross multiply
    8,226.72x = 12,320.64 × 6,684.48
  4. Step 4: Simplify right side
    8,226.72x = 82,357,071.67
  5. Step 5: Solve for x
    x = 82,357,071.67/8,226.72
  6. Step 6: Final answer
    x = 10,010.92

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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.