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Finding the Fourth Proportional to 7,294.92, 10,942.44 and 3,134.64

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Solution

The fourth proportional to 7,294.92, 10,942.44 and 3,134.64 is: 4,701.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.92 : 10,942.44 = 3,134.64 : x
  2. Step 2: Convert to fraction form
    7,294.92/10,942.44 = 3,134.64/x
  3. Step 3: Cross multiply
    7,294.92x = 10,942.44 × 3,134.64
  4. Step 4: Simplify right side
    7,294.92x = 34,300,610.12
  5. Step 5: Solve for x
    x = 34,300,610.12/7,294.92
  6. Step 6: Final answer
    x = 4,701.99

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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.