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Finding the Fourth Proportional to 7,504.14, 11,249.82 and 4,584.50

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Solution

The fourth proportional to 7,504.14, 11,249.82 and 4,584.50 is: 6,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.14 : 11,249.82 = 4,584.50 : x
  2. Step 2: Convert to fraction form
    7,504.14/11,249.82 = 4,584.50/x
  3. Step 3: Cross multiply
    7,504.14x = 11,249.82 × 4,584.50
  4. Step 4: Simplify right side
    7,504.14x = 51,574,799.79
  5. Step 5: Solve for x
    x = 51,574,799.79/7,504.14
  6. Step 6: Final answer
    x = 6,872.85

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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.