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Finding the Fourth Proportional to 8,324.14, 12,475.44 and 3,388

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Solution

The fourth proportional to 8,324.14, 12,475.44 and 3,388 is: 5,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.14 : 12,475.44 = 3,388 : x
  2. Step 2: Convert to fraction form
    8,324.14/12,475.44 = 3,388/x
  3. Step 3: Cross multiply
    8,324.14x = 12,475.44 × 3,388
  4. Step 4: Simplify right side
    8,324.14x = 42,266,790.72
  5. Step 5: Solve for x
    x = 42,266,790.72/8,324.14
  6. Step 6: Final answer
    x = 5,077.62

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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.