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Finding the Fourth Proportional to 11,836, 17,754.14 and 3,070.38

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Solution

The fourth proportional to 11,836, 17,754.14 and 3,070.38 is: 4,605.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836 : 17,754.14 = 3,070.38 : x
  2. Step 2: Convert to fraction form
    11,836/17,754.14 = 3,070.38/x
  3. Step 3: Cross multiply
    11,836x = 17,754.14 × 3,070.38
  4. Step 4: Simplify right side
    11,836x = 54,511,956.37
  5. Step 5: Solve for x
    x = 54,511,956.37/11,836
  6. Step 6: Final answer
    x = 4,605.61

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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.