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Finding the Fourth Proportional to 8,046.63, 11,105.37 and 4,689.60

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Solution

The fourth proportional to 8,046.63, 11,105.37 and 4,689.60 is: 6,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.63 : 11,105.37 = 4,689.60 : x
  2. Step 2: Convert to fraction form
    8,046.63/11,105.37 = 4,689.60/x
  3. Step 3: Cross multiply
    8,046.63x = 11,105.37 × 4,689.60
  4. Step 4: Simplify right side
    8,046.63x = 52,079,743.15
  5. Step 5: Solve for x
    x = 52,079,743.15/8,046.63
  6. Step 6: Final answer
    x = 6,472.24

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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.