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Finding the Fourth Proportional to 11,609.30, 16,020.83 and 6,893.57

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Solution

The fourth proportional to 11,609.30, 16,020.83 and 6,893.57 is: 9,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.30 : 16,020.83 = 6,893.57 : x
  2. Step 2: Convert to fraction form
    11,609.30/16,020.83 = 6,893.57/x
  3. Step 3: Cross multiply
    11,609.30x = 16,020.83 × 6,893.57
  4. Step 4: Simplify right side
    11,609.30x = 110,440,770.35
  5. Step 5: Solve for x
    x = 110,440,770.35/11,609.30
  6. Step 6: Final answer
    x = 9,513.13

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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.