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Finding the Fourth Proportional to 8,247, 11,396.39 and 6,253.86

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Solution

The fourth proportional to 8,247, 11,396.39 and 6,253.86 is: 8,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247 : 11,396.39 = 6,253.86 : x
  2. Step 2: Convert to fraction form
    8,247/11,396.39 = 6,253.86/x
  3. Step 3: Cross multiply
    8,247x = 11,396.39 × 6,253.86
  4. Step 4: Simplify right side
    8,247x = 71,271,427.57
  5. Step 5: Solve for x
    x = 71,271,427.57/8,247
  6. Step 6: Final answer
    x = 8,642.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.