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Finding the Fourth Proportional to 6,952.46, 10,427.62 and 2,272.49

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Solution

The fourth proportional to 6,952.46, 10,427.62 and 2,272.49 is: 3,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.46 : 10,427.62 = 2,272.49 : x
  2. Step 2: Convert to fraction form
    6,952.46/10,427.62 = 2,272.49/x
  3. Step 3: Cross multiply
    6,952.46x = 10,427.62 × 2,272.49
  4. Step 4: Simplify right side
    6,952.46x = 23,696,674.02
  5. Step 5: Solve for x
    x = 23,696,674.02/6,952.46
  6. Step 6: Final answer
    x = 3,408.39

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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.