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Finding the Fourth Proportional to 11,207.67, 16,814 and 3,417.09

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Solution

The fourth proportional to 11,207.67, 16,814 and 3,417.09 is: 5,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,207.67 : 16,814 = 3,417.09 : x
  2. Step 2: Convert to fraction form
    11,207.67/16,814 = 3,417.09/x
  3. Step 3: Cross multiply
    11,207.67x = 16,814 × 3,417.09
  4. Step 4: Simplify right side
    11,207.67x = 57,454,951.26
  5. Step 5: Solve for x
    x = 57,454,951.26/11,207.67
  6. Step 6: Final answer
    x = 5,126.40

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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.