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Finding the Fourth Proportional to 8,072.64, 12,109.50 and 2,807.46

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Solution

The fourth proportional to 8,072.64, 12,109.50 and 2,807.46 is: 4,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.64 : 12,109.50 = 2,807.46 : x
  2. Step 2: Convert to fraction form
    8,072.64/12,109.50 = 2,807.46/x
  3. Step 3: Cross multiply
    8,072.64x = 12,109.50 × 2,807.46
  4. Step 4: Simplify right side
    8,072.64x = 33,996,936.87
  5. Step 5: Solve for x
    x = 33,996,936.87/8,072.64
  6. Step 6: Final answer
    x = 4,211.38

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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.