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Finding the Fourth Proportional to 6,952.16, 10,427.63 and 2,794.43

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Solution

The fourth proportional to 6,952.16, 10,427.63 and 2,794.43 is: 4,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.16 : 10,427.63 = 2,794.43 : x
  2. Step 2: Convert to fraction form
    6,952.16/10,427.63 = 2,794.43/x
  3. Step 3: Cross multiply
    6,952.16x = 10,427.63 × 2,794.43
  4. Step 4: Simplify right side
    6,952.16x = 29,139,215.99
  5. Step 5: Solve for x
    x = 29,139,215.99/6,952.16
  6. Step 6: Final answer
    x = 4,191.39

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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.