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Finding the Fourth Proportional to 6,682.30, 10,016.84 and 3,166.13

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Solution

The fourth proportional to 6,682.30, 10,016.84 and 3,166.13 is: 4,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.30 : 10,016.84 = 3,166.13 : x
  2. Step 2: Convert to fraction form
    6,682.30/10,016.84 = 3,166.13/x
  3. Step 3: Cross multiply
    6,682.30x = 10,016.84 × 3,166.13
  4. Step 4: Simplify right side
    6,682.30x = 31,714,617.63
  5. Step 5: Solve for x
    x = 31,714,617.63/6,682.30
  6. Step 6: Final answer
    x = 4,746.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.