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Finding the Fourth Proportional to 27,507.26, 41,262.47 and 7,784.16

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Solution

The fourth proportional to 27,507.26, 41,262.47 and 7,784.16 is: 11,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,507.26 : 41,262.47 = 7,784.16 : x
  2. Step 2: Convert to fraction form
    27,507.26/41,262.47 = 7,784.16/x
  3. Step 3: Cross multiply
    27,507.26x = 41,262.47 × 7,784.16
  4. Step 4: Simplify right side
    27,507.26x = 321,193,668.48
  5. Step 5: Solve for x
    x = 321,193,668.48/27,507.26
  6. Step 6: Final answer
    x = 11,676.69

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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.