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Finding the Fourth Proportional to 11,647.45, 16,072.98 and 6,611.57

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Solution

The fourth proportional to 11,647.45, 16,072.98 and 6,611.57 is: 9,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.45 : 16,072.98 = 6,611.57 : x
  2. Step 2: Convert to fraction form
    11,647.45/16,072.98 = 6,611.57/x
  3. Step 3: Cross multiply
    11,647.45x = 16,072.98 × 6,611.57
  4. Step 4: Simplify right side
    11,647.45x = 106,267,715.09
  5. Step 5: Solve for x
    x = 106,267,715.09/11,647.45
  6. Step 6: Final answer
    x = 9,123.69

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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.