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Finding the Fourth Proportional to 8,338.32, 12,507.24 and 2,098.32

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Solution

The fourth proportional to 8,338.32, 12,507.24 and 2,098.32 is: 3,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.32 : 12,507.24 = 2,098.32 : x
  2. Step 2: Convert to fraction form
    8,338.32/12,507.24 = 2,098.32/x
  3. Step 3: Cross multiply
    8,338.32x = 12,507.24 × 2,098.32
  4. Step 4: Simplify right side
    8,338.32x = 26,244,191.84
  5. Step 5: Solve for x
    x = 26,244,191.84/8,338.32
  6. Step 6: Final answer
    x = 3,147.42

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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.