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Finding the Fourth Proportional to 7,042.62, 10,563.93 and 2,362.26

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Solution

The fourth proportional to 7,042.62, 10,563.93 and 2,362.26 is: 3,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.62 : 10,563.93 = 2,362.26 : x
  2. Step 2: Convert to fraction form
    7,042.62/10,563.93 = 2,362.26/x
  3. Step 3: Cross multiply
    7,042.62x = 10,563.93 × 2,362.26
  4. Step 4: Simplify right side
    7,042.62x = 24,954,749.28
  5. Step 5: Solve for x
    x = 24,954,749.28/7,042.62
  6. Step 6: Final answer
    x = 3,543.39

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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.