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Finding the Fourth Proportional to 7,684.88, 11,527.52 and 3,067.88

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Solution

The fourth proportional to 7,684.88, 11,527.52 and 3,067.88 is: 4,601.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.88 : 11,527.52 = 3,067.88 : x
  2. Step 2: Convert to fraction form
    7,684.88/11,527.52 = 3,067.88/x
  3. Step 3: Cross multiply
    7,684.88x = 11,527.52 × 3,067.88
  4. Step 4: Simplify right side
    7,684.88x = 35,364,975.08
  5. Step 5: Solve for x
    x = 35,364,975.08/7,684.88
  6. Step 6: Final answer
    x = 4,601.89

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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.