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Finding the Fourth Proportional to 27,458.88, 41,184 and 7,739.52

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Solution

The fourth proportional to 27,458.88, 41,184 and 7,739.52 is: 11,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458.88 : 41,184 = 7,739.52 : x
  2. Step 2: Convert to fraction form
    27,458.88/41,184 = 7,739.52/x
  3. Step 3: Cross multiply
    27,458.88x = 41,184 × 7,739.52
  4. Step 4: Simplify right side
    27,458.88x = 318,744,391.68
  5. Step 5: Solve for x
    x = 318,744,391.68/27,458.88
  6. Step 6: Final answer
    x = 11,608.06

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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.