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Finding the Fourth Proportional to 11,778.26, 17,667.14 and 4,758.12

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Solution

The fourth proportional to 11,778.26, 17,667.14 and 4,758.12 is: 7,137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.26 : 17,667.14 = 4,758.12 : x
  2. Step 2: Convert to fraction form
    11,778.26/17,667.14 = 4,758.12/x
  3. Step 3: Cross multiply
    11,778.26x = 17,667.14 × 4,758.12
  4. Step 4: Simplify right side
    11,778.26x = 84,062,348.39
  5. Step 5: Solve for x
    x = 84,062,348.39/11,778.26
  6. Step 6: Final answer
    x = 7,137.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.