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Finding the Fourth Proportional to 12,791, 17,645 and 8,313.12

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Solution

The fourth proportional to 12,791, 17,645 and 8,313.12 is: 11,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791 : 17,645 = 8,313.12 : x
  2. Step 2: Convert to fraction form
    12,791/17,645 = 8,313.12/x
  3. Step 3: Cross multiply
    12,791x = 17,645 × 8,313.12
  4. Step 4: Simplify right side
    12,791x = 146,685,002.40
  5. Step 5: Solve for x
    x = 146,685,002.40/12,791
  6. Step 6: Final answer
    x = 11,467.83

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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.