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Finding the Fourth Proportional to 12,894.91, 17,794.95 and 7,859.15

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Solution

The fourth proportional to 12,894.91, 17,794.95 and 7,859.15 is: 10,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.91 : 17,794.95 = 7,859.15 : x
  2. Step 2: Convert to fraction form
    12,894.91/17,794.95 = 7,859.15/x
  3. Step 3: Cross multiply
    12,894.91x = 17,794.95 × 7,859.15
  4. Step 4: Simplify right side
    12,894.91x = 139,853,181.29
  5. Step 5: Solve for x
    x = 139,853,181.29/12,894.91
  6. Step 6: Final answer
    x = 10,845.61

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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.