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Finding the Fourth Proportional to 11,885.78, 16,403.50 and 6,850.14

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Solution

The fourth proportional to 11,885.78, 16,403.50 and 6,850.14 is: 9,453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.78 : 16,403.50 = 6,850.14 : x
  2. Step 2: Convert to fraction form
    11,885.78/16,403.50 = 6,850.14/x
  3. Step 3: Cross multiply
    11,885.78x = 16,403.50 × 6,850.14
  4. Step 4: Simplify right side
    11,885.78x = 112,366,271.49
  5. Step 5: Solve for x
    x = 112,366,271.49/11,885.78
  6. Step 6: Final answer
    x = 9,453.84

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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.