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Finding the Fourth Proportional to 6,906.24, 10,352.02 and 4,709.52

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Solution

The fourth proportional to 6,906.24, 10,352.02 and 4,709.52 is: 7,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.24 : 10,352.02 = 4,709.52 : x
  2. Step 2: Convert to fraction form
    6,906.24/10,352.02 = 4,709.52/x
  3. Step 3: Cross multiply
    6,906.24x = 10,352.02 × 4,709.52
  4. Step 4: Simplify right side
    6,906.24x = 48,753,045.23
  5. Step 5: Solve for x
    x = 48,753,045.23/6,906.24
  6. Step 6: Final answer
    x = 7,059.27

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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.