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Finding the Fourth Proportional to 12,892.92, 17,792.38 and 7,856.48

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Solution

The fourth proportional to 12,892.92, 17,792.38 and 7,856.48 is: 10,842.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.92 : 17,792.38 = 7,856.48 : x
  2. Step 2: Convert to fraction form
    12,892.92/17,792.38 = 7,856.48/x
  3. Step 3: Cross multiply
    12,892.92x = 17,792.38 × 7,856.48
  4. Step 4: Simplify right side
    12,892.92x = 139,785,477.62
  5. Step 5: Solve for x
    x = 139,785,477.62/12,892.92
  6. Step 6: Final answer
    x = 10,842.03

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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.