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Finding the Fourth Proportional to 7,866.12, 11,806.47 and 3,973.26

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Solution

The fourth proportional to 7,866.12, 11,806.47 and 3,973.26 is: 5,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.12 : 11,806.47 = 3,973.26 : x
  2. Step 2: Convert to fraction form
    7,866.12/11,806.47 = 3,973.26/x
  3. Step 3: Cross multiply
    7,866.12x = 11,806.47 × 3,973.26
  4. Step 4: Simplify right side
    7,866.12x = 46,910,174.99
  5. Step 5: Solve for x
    x = 46,910,174.99/7,866.12
  6. Step 6: Final answer
    x = 5,963.57

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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.