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Finding the Fourth Proportional to 12,910.42, 17,812.14 and 7,872.83

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Solution

The fourth proportional to 12,910.42, 17,812.14 and 7,872.83 is: 10,861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,910.42 : 17,812.14 = 7,872.83 : x
  2. Step 2: Convert to fraction form
    12,910.42/17,812.14 = 7,872.83/x
  3. Step 3: Cross multiply
    12,910.42x = 17,812.14 × 7,872.83
  4. Step 4: Simplify right side
    12,910.42x = 140,231,898.37
  5. Step 5: Solve for x
    x = 140,231,898.37/12,910.42
  6. Step 6: Final answer
    x = 10,861.92

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