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Finding the Fourth Proportional to 11,650.90, 16,078.20 and 6,345.58

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Solution

The fourth proportional to 11,650.90, 16,078.20 and 6,345.58 is: 8,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.90 : 16,078.20 = 6,345.58 : x
  2. Step 2: Convert to fraction form
    11,650.90/16,078.20 = 6,345.58/x
  3. Step 3: Cross multiply
    11,650.90x = 16,078.20 × 6,345.58
  4. Step 4: Simplify right side
    11,650.90x = 102,025,504.36
  5. Step 5: Solve for x
    x = 102,025,504.36/11,650.90
  6. Step 6: Final answer
    x = 8,756.88

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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.