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Finding the Fourth Proportional to 6,952.27, 10,427.14 and 2,792.11

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Solution

The fourth proportional to 6,952.27, 10,427.14 and 2,792.11 is: 4,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.27 : 10,427.14 = 2,792.11 : x
  2. Step 2: Convert to fraction form
    6,952.27/10,427.14 = 2,792.11/x
  3. Step 3: Cross multiply
    6,952.27x = 10,427.14 × 2,792.11
  4. Step 4: Simplify right side
    6,952.27x = 29,113,721.87
  5. Step 5: Solve for x
    x = 29,113,721.87/6,952.27
  6. Step 6: Final answer
    x = 4,187.66

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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.