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Finding the Fourth Proportional to 8,201.46, 12,299.15 and 3,457.29

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Solution

The fourth proportional to 8,201.46, 12,299.15 and 3,457.29 is: 5,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.46 : 12,299.15 = 3,457.29 : x
  2. Step 2: Convert to fraction form
    8,201.46/12,299.15 = 3,457.29/x
  3. Step 3: Cross multiply
    8,201.46x = 12,299.15 × 3,457.29
  4. Step 4: Simplify right side
    8,201.46x = 42,521,711.02
  5. Step 5: Solve for x
    x = 42,521,711.02/8,201.46
  6. Step 6: Final answer
    x = 5,184.65

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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.