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Finding the Fourth Proportional to 10,608.20, 14,638.43 and 5,828

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Solution

The fourth proportional to 10,608.20, 14,638.43 and 5,828 is: 8,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.20 : 14,638.43 = 5,828 : x
  2. Step 2: Convert to fraction form
    10,608.20/14,638.43 = 5,828/x
  3. Step 3: Cross multiply
    10,608.20x = 14,638.43 × 5,828
  4. Step 4: Simplify right side
    10,608.20x = 85,312,770.04
  5. Step 5: Solve for x
    x = 85,312,770.04/10,608.20
  6. Step 6: Final answer
    x = 8,042.15

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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.