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Finding the Fourth Proportional to 7,866.33, 11,801.53 and 2,936

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Solution

The fourth proportional to 7,866.33, 11,801.53 and 2,936 is: 4,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.33 : 11,801.53 = 2,936 : x
  2. Step 2: Convert to fraction form
    7,866.33/11,801.53 = 2,936/x
  3. Step 3: Cross multiply
    7,866.33x = 11,801.53 × 2,936
  4. Step 4: Simplify right side
    7,866.33x = 34,649,292.08
  5. Step 5: Solve for x
    x = 34,649,292.08/7,866.33
  6. Step 6: Final answer
    x = 4,404.76

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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.