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Finding the Fourth Proportional to 7,294.74, 10,942.08 and 2,100.60

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Solution

The fourth proportional to 7,294.74, 10,942.08 and 2,100.60 is: 3,150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.74 : 10,942.08 = 2,100.60 : x
  2. Step 2: Convert to fraction form
    7,294.74/10,942.08 = 2,100.60/x
  3. Step 3: Cross multiply
    7,294.74x = 10,942.08 × 2,100.60
  4. Step 4: Simplify right side
    7,294.74x = 22,984,933.25
  5. Step 5: Solve for x
    x = 22,984,933.25/7,294.74
  6. Step 6: Final answer
    x = 3,150.89

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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.