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Finding the Fourth Proportional to 11,628.30, 16,046.85 and 6,323.22

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Solution

The fourth proportional to 11,628.30, 16,046.85 and 6,323.22 is: 8,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.30 : 16,046.85 = 6,323.22 : x
  2. Step 2: Convert to fraction form
    11,628.30/16,046.85 = 6,323.22/x
  3. Step 3: Cross multiply
    11,628.30x = 16,046.85 × 6,323.22
  4. Step 4: Simplify right side
    11,628.30x = 101,467,762.86
  5. Step 5: Solve for x
    x = 101,467,762.86/11,628.30
  6. Step 6: Final answer
    x = 8,725.93

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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.