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Finding the Fourth Proportional to 11,650.92, 16,078.06 and 6,345.69

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Solution

The fourth proportional to 11,650.92, 16,078.06 and 6,345.69 is: 8,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.92 : 16,078.06 = 6,345.69 : x
  2. Step 2: Convert to fraction form
    11,650.92/16,078.06 = 6,345.69/x
  3. Step 3: Cross multiply
    11,650.92x = 16,078.06 × 6,345.69
  4. Step 4: Simplify right side
    11,650.92x = 102,026,384.56
  5. Step 5: Solve for x
    x = 102,026,384.56/11,650.92
  6. Step 6: Final answer
    x = 8,756.94

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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.