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Finding the Fourth Proportional to 8,309, 12,463.74 and 2,153

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Solution

The fourth proportional to 8,309, 12,463.74 and 2,153 is: 3,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309 : 12,463.74 = 2,153 : x
  2. Step 2: Convert to fraction form
    8,309/12,463.74 = 2,153/x
  3. Step 3: Cross multiply
    8,309x = 12,463.74 × 2,153
  4. Step 4: Simplify right side
    8,309x = 26,834,432.22
  5. Step 5: Solve for x
    x = 26,834,432.22/8,309
  6. Step 6: Final answer
    x = 3,229.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.