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Finding the Fourth Proportional to 8,411.56, 12,617.34 and 2,864.92

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Solution

The fourth proportional to 8,411.56, 12,617.34 and 2,864.92 is: 4,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.56 : 12,617.34 = 2,864.92 : x
  2. Step 2: Convert to fraction form
    8,411.56/12,617.34 = 2,864.92/x
  3. Step 3: Cross multiply
    8,411.56x = 12,617.34 × 2,864.92
  4. Step 4: Simplify right side
    8,411.56x = 36,147,669.71
  5. Step 5: Solve for x
    x = 36,147,669.71/8,411.56
  6. Step 6: Final answer
    x = 4,297.38

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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.