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Finding the Fourth Proportional to 26,301, 39,458.34 and 7,833

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Solution

The fourth proportional to 26,301, 39,458.34 and 7,833 is: 11,751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,301 : 39,458.34 = 7,833 : x
  2. Step 2: Convert to fraction form
    26,301/39,458.34 = 7,833/x
  3. Step 3: Cross multiply
    26,301x = 39,458.34 × 7,833
  4. Step 4: Simplify right side
    26,301x = 309,077,177.22
  5. Step 5: Solve for x
    x = 309,077,177.22/26,301
  6. Step 6: Final answer
    x = 11,751.54

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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.