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Finding the Fourth Proportional to 26,294, 39,441.27 and 7,826

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Solution

The fourth proportional to 26,294, 39,441.27 and 7,826 is: 11,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,294 : 39,441.27 = 7,826 : x
  2. Step 2: Convert to fraction form
    26,294/39,441.27 = 7,826/x
  3. Step 3: Cross multiply
    26,294x = 39,441.27 × 7,826
  4. Step 4: Simplify right side
    26,294x = 308,667,379.02
  5. Step 5: Solve for x
    x = 308,667,379.02/26,294
  6. Step 6: Final answer
    x = 11,739.08

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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.