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Finding the Fourth Proportional to 7,682.91, 11,524.50 and 3,300.45

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Solution

The fourth proportional to 7,682.91, 11,524.50 and 3,300.45 is: 4,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.91 : 11,524.50 = 3,300.45 : x
  2. Step 2: Convert to fraction form
    7,682.91/11,524.50 = 3,300.45/x
  3. Step 3: Cross multiply
    7,682.91x = 11,524.50 × 3,300.45
  4. Step 4: Simplify right side
    7,682.91x = 38,036,036.03
  5. Step 5: Solve for x
    x = 38,036,036.03/7,682.91
  6. Step 6: Final answer
    x = 4,950.73

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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.