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Finding the Fourth Proportional to 6,906.48, 10,355.76 and 3,622.92

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Solution

The fourth proportional to 6,906.48, 10,355.76 and 3,622.92 is: 5,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.48 : 10,355.76 = 3,622.92 : x
  2. Step 2: Convert to fraction form
    6,906.48/10,355.76 = 3,622.92/x
  3. Step 3: Cross multiply
    6,906.48x = 10,355.76 × 3,622.92
  4. Step 4: Simplify right side
    6,906.48x = 37,518,090.02
  5. Step 5: Solve for x
    x = 37,518,090.02/6,906.48
  6. Step 6: Final answer
    x = 5,432.30

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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.