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Finding the Fourth Proportional to 8,682.39, 12,985.97 and 5,116.01

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Solution

The fourth proportional to 8,682.39, 12,985.97 and 5,116.01 is: 7,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.39 : 12,985.97 = 5,116.01 : x
  2. Step 2: Convert to fraction form
    8,682.39/12,985.97 = 5,116.01/x
  3. Step 3: Cross multiply
    8,682.39x = 12,985.97 × 5,116.01
  4. Step 4: Simplify right side
    8,682.39x = 66,436,261.87
  5. Step 5: Solve for x
    x = 66,436,261.87/8,682.39
  6. Step 6: Final answer
    x = 7,651.84

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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.