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Finding the Fourth Proportional to 7,982.15, 10,935.59 and 7,682.86

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Solution

The fourth proportional to 7,982.15, 10,935.59 and 7,682.86 is: 10,525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.15 : 10,935.59 = 7,682.86 : x
  2. Step 2: Convert to fraction form
    7,982.15/10,935.59 = 7,682.86/x
  3. Step 3: Cross multiply
    7,982.15x = 10,935.59 × 7,682.86
  4. Step 4: Simplify right side
    7,982.15x = 84,016,625.46
  5. Step 5: Solve for x
    x = 84,016,625.46/7,982.15
  6. Step 6: Final answer
    x = 10,525.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.