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Finding the Fourth Proportional to 8,206.48, 12,311.52 and 3,012.40

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Solution

The fourth proportional to 8,206.48, 12,311.52 and 3,012.40 is: 4,519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.48 : 12,311.52 = 3,012.40 : x
  2. Step 2: Convert to fraction form
    8,206.48/12,311.52 = 3,012.40/x
  3. Step 3: Cross multiply
    8,206.48x = 12,311.52 × 3,012.40
  4. Step 4: Simplify right side
    8,206.48x = 37,087,222.85
  5. Step 5: Solve for x
    x = 37,087,222.85/8,206.48
  6. Step 6: Final answer
    x = 4,519.26

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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.