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Finding the Fourth Proportional to 10,704.68, 14,772.09 and 5,924.82

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Solution

The fourth proportional to 10,704.68, 14,772.09 and 5,924.82 is: 8,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.68 : 14,772.09 = 5,924.82 : x
  2. Step 2: Convert to fraction form
    10,704.68/14,772.09 = 5,924.82/x
  3. Step 3: Cross multiply
    10,704.68x = 14,772.09 × 5,924.82
  4. Step 4: Simplify right side
    10,704.68x = 87,522,051.89
  5. Step 5: Solve for x
    x = 87,522,051.89/10,704.68
  6. Step 6: Final answer
    x = 8,176.06

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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.