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Finding the Fourth Proportional to 6,943.67, 10,416.59 and 2,262.59

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Solution

The fourth proportional to 6,943.67, 10,416.59 and 2,262.59 is: 3,394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.67 : 10,416.59 = 2,262.59 : x
  2. Step 2: Convert to fraction form
    6,943.67/10,416.59 = 2,262.59/x
  3. Step 3: Cross multiply
    6,943.67x = 10,416.59 × 2,262.59
  4. Step 4: Simplify right side
    6,943.67x = 23,568,461.06
  5. Step 5: Solve for x
    x = 23,568,461.06/6,943.67
  6. Step 6: Final answer
    x = 3,394.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.