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Finding the Fourth Proportional to 10,396.73, 14,347.86 and 6,145.85

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Solution

The fourth proportional to 10,396.73, 14,347.86 and 6,145.85 is: 8,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.73 : 14,347.86 = 6,145.85 : x
  2. Step 2: Convert to fraction form
    10,396.73/14,347.86 = 6,145.85/x
  3. Step 3: Cross multiply
    10,396.73x = 14,347.86 × 6,145.85
  4. Step 4: Simplify right side
    10,396.73x = 88,179,795.38
  5. Step 5: Solve for x
    x = 88,179,795.38/10,396.73
  6. Step 6: Final answer
    x = 8,481.49

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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.