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Finding the Fourth Proportional to 10,701.39, 16,048.09 and 3,679.42

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Solution

The fourth proportional to 10,701.39, 16,048.09 and 3,679.42 is: 5,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.39 : 16,048.09 = 3,679.42 : x
  2. Step 2: Convert to fraction form
    10,701.39/16,048.09 = 3,679.42/x
  3. Step 3: Cross multiply
    10,701.39x = 16,048.09 × 3,679.42
  4. Step 4: Simplify right side
    10,701.39x = 59,047,583.07
  5. Step 5: Solve for x
    x = 59,047,583.07/10,701.39
  6. Step 6: Final answer
    x = 5,517.75

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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.