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Finding the Fourth Proportional to 11,776.42, 17,667.06 and 3,456.70

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Solution

The fourth proportional to 11,776.42, 17,667.06 and 3,456.70 is: 5,185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.42 : 17,667.06 = 3,456.70 : x
  2. Step 2: Convert to fraction form
    11,776.42/17,667.06 = 3,456.70/x
  3. Step 3: Cross multiply
    11,776.42x = 17,667.06 × 3,456.70
  4. Step 4: Simplify right side
    11,776.42x = 61,069,726.30
  5. Step 5: Solve for x
    x = 61,069,726.30/11,776.42
  6. Step 6: Final answer
    x = 5,185.76

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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.