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Finding the Fourth Proportional to 10,704.16, 16,058.48 and 3,684.80

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Solution

The fourth proportional to 10,704.16, 16,058.48 and 3,684.80 is: 5,527.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.16 : 16,058.48 = 3,684.80 : x
  2. Step 2: Convert to fraction form
    10,704.16/16,058.48 = 3,684.80/x
  3. Step 3: Cross multiply
    10,704.16x = 16,058.48 × 3,684.80
  4. Step 4: Simplify right side
    10,704.16x = 59,172,287.10
  5. Step 5: Solve for x
    x = 59,172,287.10/10,704.16
  6. Step 6: Final answer
    x = 5,527.97

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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.