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Finding the Fourth Proportional to 8,101.80, 11,180.44 and 4,745.24

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Solution

The fourth proportional to 8,101.80, 11,180.44 and 4,745.24 is: 6,548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.80 : 11,180.44 = 4,745.24 : x
  2. Step 2: Convert to fraction form
    8,101.80/11,180.44 = 4,745.24/x
  3. Step 3: Cross multiply
    8,101.80x = 11,180.44 × 4,745.24
  4. Step 4: Simplify right side
    8,101.80x = 53,053,871.11
  5. Step 5: Solve for x
    x = 53,053,871.11/8,101.80
  6. Step 6: Final answer
    x = 6,548.41

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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.