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Finding the Fourth Proportional to 8,049.55, 12,057.72 and 5,971.90

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Solution

The fourth proportional to 8,049.55, 12,057.72 and 5,971.90 is: 8,945.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.55 : 12,057.72 = 5,971.90 : x
  2. Step 2: Convert to fraction form
    8,049.55/12,057.72 = 5,971.90/x
  3. Step 3: Cross multiply
    8,049.55x = 12,057.72 × 5,971.90
  4. Step 4: Simplify right side
    8,049.55x = 72,007,498.07
  5. Step 5: Solve for x
    x = 72,007,498.07/8,049.55
  6. Step 6: Final answer
    x = 8,945.53

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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.