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Finding the Fourth Proportional to 11,414.56, 15,722.79 and 8,051.46

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Solution

The fourth proportional to 11,414.56, 15,722.79 and 8,051.46 is: 11,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.56 : 15,722.79 = 8,051.46 : x
  2. Step 2: Convert to fraction form
    11,414.56/15,722.79 = 8,051.46/x
  3. Step 3: Cross multiply
    11,414.56x = 15,722.79 × 8,051.46
  4. Step 4: Simplify right side
    11,414.56x = 126,591,414.77
  5. Step 5: Solve for x
    x = 126,591,414.77/11,414.56
  6. Step 6: Final answer
    x = 11,090.35

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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.