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Finding the Fourth Proportional to 10,076.76, 13,914.32 and 8,406.92

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Solution

The fourth proportional to 10,076.76, 13,914.32 and 8,406.92 is: 11,608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.76 : 13,914.32 = 8,406.92 : x
  2. Step 2: Convert to fraction form
    10,076.76/13,914.32 = 8,406.92/x
  3. Step 3: Cross multiply
    10,076.76x = 13,914.32 × 8,406.92
  4. Step 4: Simplify right side
    10,076.76x = 116,976,540.31
  5. Step 5: Solve for x
    x = 116,976,540.31/10,076.76
  6. Step 6: Final answer
    x = 11,608.55

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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.