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Finding the Fourth Proportional to 8,183.71, 11,290.92 and 4,646.26

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Solution

The fourth proportional to 8,183.71, 11,290.92 and 4,646.26 is: 6,410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.71 : 11,290.92 = 4,646.26 : x
  2. Step 2: Convert to fraction form
    8,183.71/11,290.92 = 4,646.26/x
  3. Step 3: Cross multiply
    8,183.71x = 11,290.92 × 4,646.26
  4. Step 4: Simplify right side
    8,183.71x = 52,460,549.96
  5. Step 5: Solve for x
    x = 52,460,549.96/8,183.71
  6. Step 6: Final answer
    x = 6,410.36

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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.