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Finding the Fourth Proportional to 10,704.62, 14,773.47 and 6,167.45

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Solution

The fourth proportional to 10,704.62, 14,773.47 and 6,167.45 is: 8,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.62 : 14,773.47 = 6,167.45 : x
  2. Step 2: Convert to fraction form
    10,704.62/14,773.47 = 6,167.45/x
  3. Step 3: Cross multiply
    10,704.62x = 14,773.47 × 6,167.45
  4. Step 4: Simplify right side
    10,704.62x = 91,114,563.68
  5. Step 5: Solve for x
    x = 91,114,563.68/10,704.62
  6. Step 6: Final answer
    x = 8,511.71

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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.