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Finding the Fourth Proportional to 11,076.56, 15,282.51 and 6,826.22

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Solution

The fourth proportional to 11,076.56, 15,282.51 and 6,826.22 is: 9,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076.56 : 15,282.51 = 6,826.22 : x
  2. Step 2: Convert to fraction form
    11,076.56/15,282.51 = 6,826.22/x
  3. Step 3: Cross multiply
    11,076.56x = 15,282.51 × 6,826.22
  4. Step 4: Simplify right side
    11,076.56x = 104,321,775.41
  5. Step 5: Solve for x
    x = 104,321,775.41/11,076.56
  6. Step 6: Final answer
    x = 9,418.25

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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.