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Finding the Fourth Proportional to 10,354.22, 14,288.97 and 5,638.50

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Solution

The fourth proportional to 10,354.22, 14,288.97 and 5,638.50 is: 7,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.22 : 14,288.97 = 5,638.50 : x
  2. Step 2: Convert to fraction form
    10,354.22/14,288.97 = 5,638.50/x
  3. Step 3: Cross multiply
    10,354.22x = 14,288.97 × 5,638.50
  4. Step 4: Simplify right side
    10,354.22x = 80,568,378.49
  5. Step 5: Solve for x
    x = 80,568,378.49/10,354.22
  6. Step 6: Final answer
    x = 7,781.21

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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.