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Finding the Fourth Proportional to 11,841.12, 17,758.08 and 4,914

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Solution

The fourth proportional to 11,841.12, 17,758.08 and 4,914 is: 7,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.12 : 17,758.08 = 4,914 : x
  2. Step 2: Convert to fraction form
    11,841.12/17,758.08 = 4,914/x
  3. Step 3: Cross multiply
    11,841.12x = 17,758.08 × 4,914
  4. Step 4: Simplify right side
    11,841.12x = 87,263,205.12
  5. Step 5: Solve for x
    x = 87,263,205.12/11,841.12
  6. Step 6: Final answer
    x = 7,369.51

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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.