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Finding the Fourth Proportional to 7,290.54, 10,937.42 and 2,096

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Solution

The fourth proportional to 7,290.54, 10,937.42 and 2,096 is: 3,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.54 : 10,937.42 = 2,096 : x
  2. Step 2: Convert to fraction form
    7,290.54/10,937.42 = 2,096/x
  3. Step 3: Cross multiply
    7,290.54x = 10,937.42 × 2,096
  4. Step 4: Simplify right side
    7,290.54x = 22,924,832.32
  5. Step 5: Solve for x
    x = 22,924,832.32/7,290.54
  6. Step 6: Final answer
    x = 3,144.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.