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Finding the Fourth Proportional to 7,494.26, 11,246.42 and 3,111.72

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Solution

The fourth proportional to 7,494.26, 11,246.42 and 3,111.72 is: 4,669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.26 : 11,246.42 = 3,111.72 : x
  2. Step 2: Convert to fraction form
    7,494.26/11,246.42 = 3,111.72/x
  3. Step 3: Cross multiply
    7,494.26x = 11,246.42 × 3,111.72
  4. Step 4: Simplify right side
    7,494.26x = 34,995,710.04
  5. Step 5: Solve for x
    x = 34,995,710.04/7,494.26
  6. Step 6: Final answer
    x = 4,669.67

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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.