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Finding the Fourth Proportional to 10,122.86, 13,954.30 and 7,880.78

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Solution

The fourth proportional to 10,122.86, 13,954.30 and 7,880.78 is: 10,863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.86 : 13,954.30 = 7,880.78 : x
  2. Step 2: Convert to fraction form
    10,122.86/13,954.30 = 7,880.78/x
  3. Step 3: Cross multiply
    10,122.86x = 13,954.30 × 7,880.78
  4. Step 4: Simplify right side
    10,122.86x = 109,970,768.35
  5. Step 5: Solve for x
    x = 109,970,768.35/10,122.86
  6. Step 6: Final answer
    x = 10,863.61

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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.