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Finding the Fourth Proportional to 8,099.82, 11,177.80 and 4,563.10

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Solution

The fourth proportional to 8,099.82, 11,177.80 and 4,563.10 is: 6,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.82 : 11,177.80 = 4,563.10 : x
  2. Step 2: Convert to fraction form
    8,099.82/11,177.80 = 4,563.10/x
  3. Step 3: Cross multiply
    8,099.82x = 11,177.80 × 4,563.10
  4. Step 4: Simplify right side
    8,099.82x = 51,005,419.18
  5. Step 5: Solve for x
    x = 51,005,419.18/8,099.82
  6. Step 6: Final answer
    x = 6,297.11

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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.