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Finding the Fourth Proportional to 11,817, 16,309.08 and 6,849

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Solution

The fourth proportional to 11,817, 16,309.08 and 6,849 is: 9,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817 : 16,309.08 = 6,849 : x
  2. Step 2: Convert to fraction form
    11,817/16,309.08 = 6,849/x
  3. Step 3: Cross multiply
    11,817x = 16,309.08 × 6,849
  4. Step 4: Simplify right side
    11,817x = 111,700,888.92
  5. Step 5: Solve for x
    x = 111,700,888.92/11,817
  6. Step 6: Final answer
    x = 9,452.56

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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.