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Finding the Fourth Proportional to 8,462.30, 12,674.94 and 4,295.12

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Solution

The fourth proportional to 8,462.30, 12,674.94 and 4,295.12 is: 6,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.30 : 12,674.94 = 4,295.12 : x
  2. Step 2: Convert to fraction form
    8,462.30/12,674.94 = 4,295.12/x
  3. Step 3: Cross multiply
    8,462.30x = 12,674.94 × 4,295.12
  4. Step 4: Simplify right side
    8,462.30x = 54,440,388.29
  5. Step 5: Solve for x
    x = 54,440,388.29/8,462.30
  6. Step 6: Final answer
    x = 6,433.29

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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.