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Finding the Fourth Proportional to 8,099.95, 12,140.57 and 3,656.69

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Solution

The fourth proportional to 8,099.95, 12,140.57 and 3,656.69 is: 5,480.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.95 : 12,140.57 = 3,656.69 : x
  2. Step 2: Convert to fraction form
    8,099.95/12,140.57 = 3,656.69/x
  3. Step 3: Cross multiply
    8,099.95x = 12,140.57 × 3,656.69
  4. Step 4: Simplify right side
    8,099.95x = 44,394,300.91
  5. Step 5: Solve for x
    x = 44,394,300.91/8,099.95
  6. Step 6: Final answer
    x = 5,480.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.