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Finding the Fourth Proportional to 7,111.74, 10,675.41 and 2,954.70

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Solution

The fourth proportional to 7,111.74, 10,675.41 and 2,954.70 is: 4,435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.74 : 10,675.41 = 2,954.70 : x
  2. Step 2: Convert to fraction form
    7,111.74/10,675.41 = 2,954.70/x
  3. Step 3: Cross multiply
    7,111.74x = 10,675.41 × 2,954.70
  4. Step 4: Simplify right side
    7,111.74x = 31,542,633.93
  5. Step 5: Solve for x
    x = 31,542,633.93/7,111.74
  6. Step 6: Final answer
    x = 4,435.29

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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.