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Finding the Fourth Proportional to 10,704.32, 16,056.80 and 3,780.80

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Solution

The fourth proportional to 10,704.32, 16,056.80 and 3,780.80 is: 5,671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.32 : 16,056.80 = 3,780.80 : x
  2. Step 2: Convert to fraction form
    10,704.32/16,056.80 = 3,780.80/x
  3. Step 3: Cross multiply
    10,704.32x = 16,056.80 × 3,780.80
  4. Step 4: Simplify right side
    10,704.32x = 60,707,549.44
  5. Step 5: Solve for x
    x = 60,707,549.44/10,704.32
  6. Step 6: Final answer
    x = 5,671.31

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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.