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Finding the Fourth Proportional to 8,101.17, 11,182.41 and 4,745.06

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Solution

The fourth proportional to 8,101.17, 11,182.41 and 4,745.06 is: 6,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.17 : 11,182.41 = 4,745.06 : x
  2. Step 2: Convert to fraction form
    8,101.17/11,182.41 = 4,745.06/x
  3. Step 3: Cross multiply
    8,101.17x = 11,182.41 × 4,745.06
  4. Step 4: Simplify right side
    8,101.17x = 53,061,234.35
  5. Step 5: Solve for x
    x = 53,061,234.35/8,101.17
  6. Step 6: Final answer
    x = 6,549.82

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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.