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Finding the Fourth Proportional to 11,249.95, 16,866.36 and 6,806.68

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Solution

The fourth proportional to 11,249.95, 16,866.36 and 6,806.68 is: 10,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.95 : 16,866.36 = 6,806.68 : x
  2. Step 2: Convert to fraction form
    11,249.95/16,866.36 = 6,806.68/x
  3. Step 3: Cross multiply
    11,249.95x = 16,866.36 × 6,806.68
  4. Step 4: Simplify right side
    11,249.95x = 114,803,915.28
  5. Step 5: Solve for x
    x = 114,803,915.28/11,249.95
  6. Step 6: Final answer
    x = 10,204.84

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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.