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Finding the Fourth Proportional to 7,537.91, 11,307.83 and 2,793.42

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Solution

The fourth proportional to 7,537.91, 11,307.83 and 2,793.42 is: 4,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.91 : 11,307.83 = 2,793.42 : x
  2. Step 2: Convert to fraction form
    7,537.91/11,307.83 = 2,793.42/x
  3. Step 3: Cross multiply
    7,537.91x = 11,307.83 × 2,793.42
  4. Step 4: Simplify right side
    7,537.91x = 31,587,504.51
  5. Step 5: Solve for x
    x = 31,587,504.51/7,537.91
  6. Step 6: Final answer
    x = 4,190.49

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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.