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Finding the Fourth Proportional to 8,411.94, 12,617.94 and 2,865.90

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Solution

The fourth proportional to 8,411.94, 12,617.94 and 2,865.90 is: 4,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.94 : 12,617.94 = 2,865.90 : x
  2. Step 2: Convert to fraction form
    8,411.94/12,617.94 = 2,865.90/x
  3. Step 3: Cross multiply
    8,411.94x = 12,617.94 × 2,865.90
  4. Step 4: Simplify right side
    8,411.94x = 36,161,754.25
  5. Step 5: Solve for x
    x = 36,161,754.25/8,411.94
  6. Step 6: Final answer
    x = 4,298.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.