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Finding the Fourth Proportional to 26,594.69, 39,879.77 and 7,868.03

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Solution

The fourth proportional to 26,594.69, 39,879.77 and 7,868.03 is: 11,798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,594.69 : 39,879.77 = 7,868.03 : x
  2. Step 2: Convert to fraction form
    26,594.69/39,879.77 = 7,868.03/x
  3. Step 3: Cross multiply
    26,594.69x = 39,879.77 × 7,868.03
  4. Step 4: Simplify right side
    26,594.69x = 313,774,988.01
  5. Step 5: Solve for x
    x = 313,774,988.01/26,594.69
  6. Step 6: Final answer
    x = 11,798.41

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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.