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Finding the Fourth Proportional to 11,806.14, 16,292.26 and 6,501.44

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Solution

The fourth proportional to 11,806.14, 16,292.26 and 6,501.44 is: 8,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.14 : 16,292.26 = 6,501.44 : x
  2. Step 2: Convert to fraction form
    11,806.14/16,292.26 = 6,501.44/x
  3. Step 3: Cross multiply
    11,806.14x = 16,292.26 × 6,501.44
  4. Step 4: Simplify right side
    11,806.14x = 105,923,150.85
  5. Step 5: Solve for x
    x = 105,923,150.85/11,806.14
  6. Step 6: Final answer
    x = 8,971.87

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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.