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Finding the Fourth Proportional to 11,650.44, 16,077.11 and 6,345.30

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Solution

The fourth proportional to 11,650.44, 16,077.11 and 6,345.30 is: 8,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.44 : 16,077.11 = 6,345.30 : x
  2. Step 2: Convert to fraction form
    11,650.44/16,077.11 = 6,345.30/x
  3. Step 3: Cross multiply
    11,650.44x = 16,077.11 × 6,345.30
  4. Step 4: Simplify right side
    11,650.44x = 102,014,054.36
  5. Step 5: Solve for x
    x = 102,014,054.36/11,650.44
  6. Step 6: Final answer
    x = 8,756.24

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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.