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Finding the Fourth Proportional to 11,845.77, 16,347.03 and 6,540.48

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Solution

The fourth proportional to 11,845.77, 16,347.03 and 6,540.48 is: 9,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,845.77 : 16,347.03 = 6,540.48 : x
  2. Step 2: Convert to fraction form
    11,845.77/16,347.03 = 6,540.48/x
  3. Step 3: Cross multiply
    11,845.77x = 16,347.03 × 6,540.48
  4. Step 4: Simplify right side
    11,845.77x = 106,917,422.77
  5. Step 5: Solve for x
    x = 106,917,422.77/11,845.77
  6. Step 6: Final answer
    x = 9,025.79

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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.