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Finding the Fourth Proportional to 12,892.91, 17,792.20 and 7,857.15

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Solution

The fourth proportional to 12,892.91, 17,792.20 and 7,857.15 is: 10,842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.91 : 17,792.20 = 7,857.15 : x
  2. Step 2: Convert to fraction form
    12,892.91/17,792.20 = 7,857.15/x
  3. Step 3: Cross multiply
    12,892.91x = 17,792.20 × 7,857.15
  4. Step 4: Simplify right side
    12,892.91x = 139,795,944.94
  5. Step 5: Solve for x
    x = 139,795,944.94/12,892.91
  6. Step 6: Final answer
    x = 10,842.85

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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.