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Finding the Fourth Proportional to 8,206.08, 12,311.28 and 3,012

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Solution

The fourth proportional to 8,206.08, 12,311.28 and 3,012 is: 4,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.08 : 12,311.28 = 3,012 : x
  2. Step 2: Convert to fraction form
    8,206.08/12,311.28 = 3,012/x
  3. Step 3: Cross multiply
    8,206.08x = 12,311.28 × 3,012
  4. Step 4: Simplify right side
    8,206.08x = 37,081,575.36
  5. Step 5: Solve for x
    x = 37,081,575.36/8,206.08
  6. Step 6: Final answer
    x = 4,518.79

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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.