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Finding the Fourth Proportional to 10,704.80, 14,772.63 and 5,989.08

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Solution

The fourth proportional to 10,704.80, 14,772.63 and 5,989.08 is: 8,264.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.80 : 14,772.63 = 5,989.08 : x
  2. Step 2: Convert to fraction form
    10,704.80/14,772.63 = 5,989.08/x
  3. Step 3: Cross multiply
    10,704.80x = 14,772.63 × 5,989.08
  4. Step 4: Simplify right side
    10,704.80x = 88,474,462.88
  5. Step 5: Solve for x
    x = 88,474,462.88/10,704.80
  6. Step 6: Final answer
    x = 8,264.94

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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.