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Finding the Fourth Proportional to 8,099.48, 12,149.22 and 4,634.30

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Solution

The fourth proportional to 8,099.48, 12,149.22 and 4,634.30 is: 6,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.48 : 12,149.22 = 4,634.30 : x
  2. Step 2: Convert to fraction form
    8,099.48/12,149.22 = 4,634.30/x
  3. Step 3: Cross multiply
    8,099.48x = 12,149.22 × 4,634.30
  4. Step 4: Simplify right side
    8,099.48x = 56,303,130.25
  5. Step 5: Solve for x
    x = 56,303,130.25/8,099.48
  6. Step 6: Final answer
    x = 6,951.45

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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.