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Finding the Fourth Proportional to 6,952.55, 10,431.16 and 2,272.75

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Solution

The fourth proportional to 6,952.55, 10,431.16 and 2,272.75 is: 3,409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.55 : 10,431.16 = 2,272.75 : x
  2. Step 2: Convert to fraction form
    6,952.55/10,431.16 = 2,272.75/x
  3. Step 3: Cross multiply
    6,952.55x = 10,431.16 × 2,272.75
  4. Step 4: Simplify right side
    6,952.55x = 23,707,387.13
  5. Step 5: Solve for x
    x = 23,707,387.13/6,952.55
  6. Step 6: Final answer
    x = 3,409.89

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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.