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Finding the Fourth Proportional to 8,644.94, 12,964.71 and 2,800.34

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Solution

The fourth proportional to 8,644.94, 12,964.71 and 2,800.34 is: 4,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.94 : 12,964.71 = 2,800.34 : x
  2. Step 2: Convert to fraction form
    8,644.94/12,964.71 = 2,800.34/x
  3. Step 3: Cross multiply
    8,644.94x = 12,964.71 × 2,800.34
  4. Step 4: Simplify right side
    8,644.94x = 36,305,596.00
  5. Step 5: Solve for x
    x = 36,305,596.00/8,644.94
  6. Step 6: Final answer
    x = 4,199.64

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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.