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Finding the Fourth Proportional to 27,064.83, 40,597.26 and 7,343.38

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Solution

The fourth proportional to 27,064.83, 40,597.26 and 7,343.38 is: 11,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,064.83 : 40,597.26 = 7,343.38 : x
  2. Step 2: Convert to fraction form
    27,064.83/40,597.26 = 7,343.38/x
  3. Step 3: Cross multiply
    27,064.83x = 40,597.26 × 7,343.38
  4. Step 4: Simplify right side
    27,064.83x = 298,121,107.14
  5. Step 5: Solve for x
    x = 298,121,107.14/27,064.83
  6. Step 6: Final answer
    x = 11,015.07

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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.