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Finding the Fourth Proportional to 8,182.96, 12,280.68 and 5,997.40

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Solution

The fourth proportional to 8,182.96, 12,280.68 and 5,997.40 is: 9,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.96 : 12,280.68 = 5,997.40 : x
  2. Step 2: Convert to fraction form
    8,182.96/12,280.68 = 5,997.40/x
  3. Step 3: Cross multiply
    8,182.96x = 12,280.68 × 5,997.40
  4. Step 4: Simplify right side
    8,182.96x = 73,652,150.23
  5. Step 5: Solve for x
    x = 73,652,150.23/8,182.96
  6. Step 6: Final answer
    x = 9,000.67

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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.