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Finding the Fourth Proportional to 8,189.02, 12,266.28 and 3,750.43

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Solution

The fourth proportional to 8,189.02, 12,266.28 and 3,750.43 is: 5,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.02 : 12,266.28 = 3,750.43 : x
  2. Step 2: Convert to fraction form
    8,189.02/12,266.28 = 3,750.43/x
  3. Step 3: Cross multiply
    8,189.02x = 12,266.28 × 3,750.43
  4. Step 4: Simplify right side
    8,189.02x = 46,003,824.50
  5. Step 5: Solve for x
    x = 46,003,824.50/8,189.02
  6. Step 6: Final answer
    x = 5,617.74

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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.