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Finding the Fourth Proportional to 11,849.80, 17,775 and 4,058.56

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Solution

The fourth proportional to 11,849.80, 17,775 and 4,058.56 is: 6,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.80 : 17,775 = 4,058.56 : x
  2. Step 2: Convert to fraction form
    11,849.80/17,775 = 4,058.56/x
  3. Step 3: Cross multiply
    11,849.80x = 17,775 × 4,058.56
  4. Step 4: Simplify right side
    11,849.80x = 72,140,904
  5. Step 5: Solve for x
    x = 72,140,904/11,849.80
  6. Step 6: Final answer
    x = 6,087.94

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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.