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Finding the Fourth Proportional to 12,892.08, 17,792.56 and 7,859.24

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Solution

The fourth proportional to 12,892.08, 17,792.56 and 7,859.24 is: 10,846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.08 : 17,792.56 = 7,859.24 : x
  2. Step 2: Convert to fraction form
    12,892.08/17,792.56 = 7,859.24/x
  3. Step 3: Cross multiply
    12,892.08x = 17,792.56 × 7,859.24
  4. Step 4: Simplify right side
    12,892.08x = 139,835,999.25
  5. Step 5: Solve for x
    x = 139,835,999.25/12,892.08
  6. Step 6: Final answer
    x = 10,846.66

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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.