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Finding the Fourth Proportional to 10,704.63, 14,772.39 and 5,990.02

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Solution

The fourth proportional to 10,704.63, 14,772.39 and 5,990.02 is: 8,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.63 : 14,772.39 = 5,990.02 : x
  2. Step 2: Convert to fraction form
    10,704.63/14,772.39 = 5,990.02/x
  3. Step 3: Cross multiply
    10,704.63x = 14,772.39 × 5,990.02
  4. Step 4: Simplify right side
    10,704.63x = 88,486,911.55
  5. Step 5: Solve for x
    x = 88,486,911.55/10,704.63
  6. Step 6: Final answer
    x = 8,266.23

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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.