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Finding the Fourth Proportional to 10,704.64, 14,772.96 and 5,989

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Solution

The fourth proportional to 10,704.64, 14,772.96 and 5,989 is: 8,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.64 : 14,772.96 = 5,989 : x
  2. Step 2: Convert to fraction form
    10,704.64/14,772.96 = 5,989/x
  3. Step 3: Cross multiply
    10,704.64x = 14,772.96 × 5,989
  4. Step 4: Simplify right side
    10,704.64x = 88,475,257.44
  5. Step 5: Solve for x
    x = 88,475,257.44/10,704.64
  6. Step 6: Final answer
    x = 8,265.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.