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Finding the Fourth Proportional to 6,911.86, 10,359.69 and 3,403.48

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Solution

The fourth proportional to 6,911.86, 10,359.69 and 3,403.48 is: 5,101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.86 : 10,359.69 = 3,403.48 : x
  2. Step 2: Convert to fraction form
    6,911.86/10,359.69 = 3,403.48/x
  3. Step 3: Cross multiply
    6,911.86x = 10,359.69 × 3,403.48
  4. Step 4: Simplify right side
    6,911.86x = 35,258,997.72
  5. Step 5: Solve for x
    x = 35,258,997.72/6,911.86
  6. Step 6: Final answer
    x = 5,101.23

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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.