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Finding the Fourth Proportional to 8,099.60, 11,177.48 and 4,562.48

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Solution

The fourth proportional to 8,099.60, 11,177.48 and 4,562.48 is: 6,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.60 : 11,177.48 = 4,562.48 : x
  2. Step 2: Convert to fraction form
    8,099.60/11,177.48 = 4,562.48/x
  3. Step 3: Cross multiply
    8,099.60x = 11,177.48 × 4,562.48
  4. Step 4: Simplify right side
    8,099.60x = 50,997,028.95
  5. Step 5: Solve for x
    x = 50,997,028.95/8,099.60
  6. Step 6: Final answer
    x = 6,296.24

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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.