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Finding the Fourth Proportional to 11,890.66, 16,408.56 and 6,855.78

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Solution

The fourth proportional to 11,890.66, 16,408.56 and 6,855.78 is: 9,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.66 : 16,408.56 = 6,855.78 : x
  2. Step 2: Convert to fraction form
    11,890.66/16,408.56 = 6,855.78/x
  3. Step 3: Cross multiply
    11,890.66x = 16,408.56 × 6,855.78
  4. Step 4: Simplify right side
    11,890.66x = 112,493,477.48
  5. Step 5: Solve for x
    x = 112,493,477.48/11,890.66
  6. Step 6: Final answer
    x = 9,460.66

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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.