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Finding the Fourth Proportional to 11,205.84, 16,808.94 and 3,709.38

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Solution

The fourth proportional to 11,205.84, 16,808.94 and 3,709.38 is: 5,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.84 : 16,808.94 = 3,709.38 : x
  2. Step 2: Convert to fraction form
    11,205.84/16,808.94 = 3,709.38/x
  3. Step 3: Cross multiply
    11,205.84x = 16,808.94 × 3,709.38
  4. Step 4: Simplify right side
    11,205.84x = 62,350,745.86
  5. Step 5: Solve for x
    x = 62,350,745.86/11,205.84
  6. Step 6: Final answer
    x = 5,564.13

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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.