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Finding the Fourth Proportional to 7,682.86, 11,525.34 and 2,753.86

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Solution

The fourth proportional to 7,682.86, 11,525.34 and 2,753.86 is: 4,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.86 : 11,525.34 = 2,753.86 : x
  2. Step 2: Convert to fraction form
    7,682.86/11,525.34 = 2,753.86/x
  3. Step 3: Cross multiply
    7,682.86x = 11,525.34 × 2,753.86
  4. Step 4: Simplify right side
    7,682.86x = 31,739,172.81
  5. Step 5: Solve for x
    x = 31,739,172.81/7,682.86
  6. Step 6: Final answer
    x = 4,131.17

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Why These Related Problems?

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