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Finding the Fourth Proportional to 10,704.36, 14,773.12 and 6,167.20

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Solution

The fourth proportional to 10,704.36, 14,773.12 and 6,167.20 is: 8,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.36 : 14,773.12 = 6,167.20 : x
  2. Step 2: Convert to fraction form
    10,704.36/14,773.12 = 6,167.20/x
  3. Step 3: Cross multiply
    10,704.36x = 14,773.12 × 6,167.20
  4. Step 4: Simplify right side
    10,704.36x = 91,108,785.66
  5. Step 5: Solve for x
    x = 91,108,785.66/10,704.36
  6. Step 6: Final answer
    x = 8,511.37

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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.