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Finding the Fourth Proportional to 11,911.89, 17,878.55 and 6,369.98

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Solution

The fourth proportional to 11,911.89, 17,878.55 and 6,369.98 is: 9,560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.89 : 17,878.55 = 6,369.98 : x
  2. Step 2: Convert to fraction form
    11,911.89/17,878.55 = 6,369.98/x
  3. Step 3: Cross multiply
    11,911.89x = 17,878.55 × 6,369.98
  4. Step 4: Simplify right side
    11,911.89x = 113,885,884.69
  5. Step 5: Solve for x
    x = 113,885,884.69/11,911.89
  6. Step 6: Final answer
    x = 9,560.69

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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.