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Finding the Fourth Proportional to 10,408.14, 14,364.99 and 8,186.94

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Solution

The fourth proportional to 10,408.14, 14,364.99 and 8,186.94 is: 11,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.14 : 14,364.99 = 8,186.94 : x
  2. Step 2: Convert to fraction form
    10,408.14/14,364.99 = 8,186.94/x
  3. Step 3: Cross multiply
    10,408.14x = 14,364.99 × 8,186.94
  4. Step 4: Simplify right side
    10,408.14x = 117,605,311.23
  5. Step 5: Solve for x
    x = 117,605,311.23/10,408.14
  6. Step 6: Final answer
    x = 11,299.36

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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.