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Finding the Fourth Proportional to 11,850.12, 17,776.13 and 4,059

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Solution

The fourth proportional to 11,850.12, 17,776.13 and 4,059 is: 6,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.12 : 17,776.13 = 4,059 : x
  2. Step 2: Convert to fraction form
    11,850.12/17,776.13 = 4,059/x
  3. Step 3: Cross multiply
    11,850.12x = 17,776.13 × 4,059
  4. Step 4: Simplify right side
    11,850.12x = 72,153,311.67
  5. Step 5: Solve for x
    x = 72,153,311.67/11,850.12
  6. Step 6: Final answer
    x = 6,088.83

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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.