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Finding the Fourth Proportional to 13,085.62, 18,052.19 and 7,777.42

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Solution

The fourth proportional to 13,085.62, 18,052.19 and 7,777.42 is: 10,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.62 : 18,052.19 = 7,777.42 : x
  2. Step 2: Convert to fraction form
    13,085.62/18,052.19 = 7,777.42/x
  3. Step 3: Cross multiply
    13,085.62x = 18,052.19 × 7,777.42
  4. Step 4: Simplify right side
    13,085.62x = 140,399,392.73
  5. Step 5: Solve for x
    x = 140,399,392.73/13,085.62
  6. Step 6: Final answer
    x = 10,729.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.