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Finding the Fourth Proportional to 11,964.89, 16,508.69 and 6,860.98

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Solution

The fourth proportional to 11,964.89, 16,508.69 and 6,860.98 is: 9,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.89 : 16,508.69 = 6,860.98 : x
  2. Step 2: Convert to fraction form
    11,964.89/16,508.69 = 6,860.98/x
  3. Step 3: Cross multiply
    11,964.89x = 16,508.69 × 6,860.98
  4. Step 4: Simplify right side
    11,964.89x = 113,265,791.92
  5. Step 5: Solve for x
    x = 113,265,791.92/11,964.89
  6. Step 6: Final answer
    x = 9,466.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.