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Finding the Fourth Proportional to 11,857.80, 17,787.06 and 4,066.50

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Solution

The fourth proportional to 11,857.80, 17,787.06 and 4,066.50 is: 6,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.80 : 17,787.06 = 4,066.50 : x
  2. Step 2: Convert to fraction form
    11,857.80/17,787.06 = 4,066.50/x
  3. Step 3: Cross multiply
    11,857.80x = 17,787.06 × 4,066.50
  4. Step 4: Simplify right side
    11,857.80x = 72,331,079.49
  5. Step 5: Solve for x
    x = 72,331,079.49/11,857.80
  6. Step 6: Final answer
    x = 6,099.87

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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.