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Finding the Fourth Proportional to 11,775.31, 16,249.77 and 6,739.43

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Solution

The fourth proportional to 11,775.31, 16,249.77 and 6,739.43 is: 9,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.31 : 16,249.77 = 6,739.43 : x
  2. Step 2: Convert to fraction form
    11,775.31/16,249.77 = 6,739.43/x
  3. Step 3: Cross multiply
    11,775.31x = 16,249.77 × 6,739.43
  4. Step 4: Simplify right side
    11,775.31x = 109,514,106.18
  5. Step 5: Solve for x
    x = 109,514,106.18/11,775.31
  6. Step 6: Final answer
    x = 9,300.32

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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.