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Finding the Fourth Proportional to 11,739.99, 16,200.58 and 6,433.78

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Solution

The fourth proportional to 11,739.99, 16,200.58 and 6,433.78 is: 8,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.99 : 16,200.58 = 6,433.78 : x
  2. Step 2: Convert to fraction form
    11,739.99/16,200.58 = 6,433.78/x
  3. Step 3: Cross multiply
    11,739.99x = 16,200.58 × 6,433.78
  4. Step 4: Simplify right side
    11,739.99x = 104,230,971.54
  5. Step 5: Solve for x
    x = 104,230,971.54/11,739.99
  6. Step 6: Final answer
    x = 8,878.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.