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Finding the Fourth Proportional to 8,438.36, 12,657.46 and 2,891.64

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Solution

The fourth proportional to 8,438.36, 12,657.46 and 2,891.64 is: 4,337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.36 : 12,657.46 = 2,891.64 : x
  2. Step 2: Convert to fraction form
    8,438.36/12,657.46 = 2,891.64/x
  3. Step 3: Cross multiply
    8,438.36x = 12,657.46 × 2,891.64
  4. Step 4: Simplify right side
    8,438.36x = 36,600,817.63
  5. Step 5: Solve for x
    x = 36,600,817.63/8,438.36
  6. Step 6: Final answer
    x = 4,337.43

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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.