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Finding the Fourth Proportional to 6,952.33, 10,429.08 and 2,272.27

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Solution

The fourth proportional to 6,952.33, 10,429.08 and 2,272.27 is: 3,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.33 : 10,429.08 = 2,272.27 : x
  2. Step 2: Convert to fraction form
    6,952.33/10,429.08 = 2,272.27/x
  3. Step 3: Cross multiply
    6,952.33x = 10,429.08 × 2,272.27
  4. Step 4: Simplify right side
    6,952.33x = 23,697,685.61
  5. Step 5: Solve for x
    x = 23,697,685.61/6,952.33
  6. Step 6: Final answer
    x = 3,408.60

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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.