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Finding the Fourth Proportional to 11,213, 16,817.34 and 3,817.40

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Solution

The fourth proportional to 11,213, 16,817.34 and 3,817.40 is: 5,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213 : 16,817.34 = 3,817.40 : x
  2. Step 2: Convert to fraction form
    11,213/16,817.34 = 3,817.40/x
  3. Step 3: Cross multiply
    11,213x = 16,817.34 × 3,817.40
  4. Step 4: Simplify right side
    11,213x = 64,198,513.72
  5. Step 5: Solve for x
    x = 64,198,513.72/11,213
  6. Step 6: Final answer
    x = 5,725.36

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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.