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Finding the Fourth Proportional to 11,776.44, 17,667.04 and 3,456.70

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Solution

The fourth proportional to 11,776.44, 17,667.04 and 3,456.70 is: 5,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.44 : 17,667.04 = 3,456.70 : x
  2. Step 2: Convert to fraction form
    11,776.44/17,667.04 = 3,456.70/x
  3. Step 3: Cross multiply
    11,776.44x = 17,667.04 × 3,456.70
  4. Step 4: Simplify right side
    11,776.44x = 61,069,657.17
  5. Step 5: Solve for x
    x = 61,069,657.17/11,776.44
  6. Step 6: Final answer
    x = 5,185.75

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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.