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Finding the Fourth Proportional to 10,704.40, 14,771.77 and 5,924.54

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Solution

The fourth proportional to 10,704.40, 14,771.77 and 5,924.54 is: 8,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.40 : 14,771.77 = 5,924.54 : x
  2. Step 2: Convert to fraction form
    10,704.40/14,771.77 = 5,924.54/x
  3. Step 3: Cross multiply
    10,704.40x = 14,771.77 × 5,924.54
  4. Step 4: Simplify right side
    10,704.40x = 87,515,983.10
  5. Step 5: Solve for x
    x = 87,515,983.10/10,704.40
  6. Step 6: Final answer
    x = 8,175.70

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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.