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Finding the Fourth Proportional to 8,270.82, 12,405.02 and 2,426.67

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Solution

The fourth proportional to 8,270.82, 12,405.02 and 2,426.67 is: 3,639.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.82 : 12,405.02 = 2,426.67 : x
  2. Step 2: Convert to fraction form
    8,270.82/12,405.02 = 2,426.67/x
  3. Step 3: Cross multiply
    8,270.82x = 12,405.02 × 2,426.67
  4. Step 4: Simplify right side
    8,270.82x = 30,102,877.75
  5. Step 5: Solve for x
    x = 30,102,877.75/8,270.82
  6. Step 6: Final answer
    x = 3,639.65

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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.