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Finding the Fourth Proportional to 6,906.24, 10,347.84 and 4,561.92

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Solution

The fourth proportional to 6,906.24, 10,347.84 and 4,561.92 is: 6,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.24 : 10,347.84 = 4,561.92 : x
  2. Step 2: Convert to fraction form
    6,906.24/10,347.84 = 4,561.92/x
  3. Step 3: Cross multiply
    6,906.24x = 10,347.84 × 4,561.92
  4. Step 4: Simplify right side
    6,906.24x = 47,206,018.25
  5. Step 5: Solve for x
    x = 47,206,018.25/6,906.24
  6. Step 6: Final answer
    x = 6,835.27

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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.