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Finding the Fourth Proportional to 11,853.54, 17,776.19 and 6,596.57

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Solution

The fourth proportional to 11,853.54, 17,776.19 and 6,596.57 is: 9,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.54 : 17,776.19 = 6,596.57 : x
  2. Step 2: Convert to fraction form
    11,853.54/17,776.19 = 6,596.57/x
  3. Step 3: Cross multiply
    11,853.54x = 17,776.19 × 6,596.57
  4. Step 4: Simplify right side
    11,853.54x = 117,261,942.60
  5. Step 5: Solve for x
    x = 117,261,942.60/11,853.54
  6. Step 6: Final answer
    x = 9,892.57

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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.