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Finding the Fourth Proportional to 27,506.89, 41,261.92 and 7,783.79

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Solution

The fourth proportional to 27,506.89, 41,261.92 and 7,783.79 is: 11,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,506.89 : 41,261.92 = 7,783.79 : x
  2. Step 2: Convert to fraction form
    27,506.89/41,261.92 = 7,783.79/x
  3. Step 3: Cross multiply
    27,506.89x = 41,261.92 × 7,783.79
  4. Step 4: Simplify right side
    27,506.89x = 321,174,203.97
  5. Step 5: Solve for x
    x = 321,174,203.97/27,506.89
  6. Step 6: Final answer
    x = 11,676.14

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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.