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Finding the Fourth Proportional to 10,609.26, 14,640.30 and 5,893.80

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Solution

The fourth proportional to 10,609.26, 14,640.30 and 5,893.80 is: 8,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.26 : 14,640.30 = 5,893.80 : x
  2. Step 2: Convert to fraction form
    10,609.26/14,640.30 = 5,893.80/x
  3. Step 3: Cross multiply
    10,609.26x = 14,640.30 × 5,893.80
  4. Step 4: Simplify right side
    10,609.26x = 86,287,000.14
  5. Step 5: Solve for x
    x = 86,287,000.14/10,609.26
  6. Step 6: Final answer
    x = 8,133.18

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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.