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Finding the Fourth Proportional to 27,186.57, 40,775.23 and 7,460.52

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Solution

The fourth proportional to 27,186.57, 40,775.23 and 7,460.52 is: 11,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,186.57 : 40,775.23 = 7,460.52 : x
  2. Step 2: Convert to fraction form
    27,186.57/40,775.23 = 7,460.52/x
  3. Step 3: Cross multiply
    27,186.57x = 40,775.23 × 7,460.52
  4. Step 4: Simplify right side
    27,186.57x = 304,204,418.92
  5. Step 5: Solve for x
    x = 304,204,418.92/27,186.57
  6. Step 6: Final answer
    x = 11,189.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.