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Finding the Fourth Proportional to 8,207.95, 12,313.88 and 2,661.30

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Solution

The fourth proportional to 8,207.95, 12,313.88 and 2,661.30 is: 3,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.95 : 12,313.88 = 2,661.30 : x
  2. Step 2: Convert to fraction form
    8,207.95/12,313.88 = 2,661.30/x
  3. Step 3: Cross multiply
    8,207.95x = 12,313.88 × 2,661.30
  4. Step 4: Simplify right side
    8,207.95x = 32,770,928.84
  5. Step 5: Solve for x
    x = 32,770,928.84/8,207.95
  6. Step 6: Final answer
    x = 3,992.58

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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.