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Finding the Fourth Proportional to 10,704.54, 14,771.93 and 5,924.20

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Solution

The fourth proportional to 10,704.54, 14,771.93 and 5,924.20 is: 8,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.54 : 14,771.93 = 5,924.20 : x
  2. Step 2: Convert to fraction form
    10,704.54/14,771.93 = 5,924.20/x
  3. Step 3: Cross multiply
    10,704.54x = 14,771.93 × 5,924.20
  4. Step 4: Simplify right side
    10,704.54x = 87,511,867.71
  5. Step 5: Solve for x
    x = 87,511,867.71/10,704.54
  6. Step 6: Final answer
    x = 8,175.21

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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.