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Finding the Fourth Proportional to 8,099.88, 11,177.16 and 4,742.24

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Solution

The fourth proportional to 8,099.88, 11,177.16 and 4,742.24 is: 6,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.88 : 11,177.16 = 4,742.24 : x
  2. Step 2: Convert to fraction form
    8,099.88/11,177.16 = 4,742.24/x
  3. Step 3: Cross multiply
    8,099.88x = 11,177.16 × 4,742.24
  4. Step 4: Simplify right side
    8,099.88x = 53,004,775.24
  5. Step 5: Solve for x
    x = 53,004,775.24/8,099.88
  6. Step 6: Final answer
    x = 6,543.90

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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.