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Finding the Fourth Proportional to 7,342.02, 11,012.22 and 2,147.94

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Solution

The fourth proportional to 7,342.02, 11,012.22 and 2,147.94 is: 3,221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.02 : 11,012.22 = 2,147.94 : x
  2. Step 2: Convert to fraction form
    7,342.02/11,012.22 = 2,147.94/x
  3. Step 3: Cross multiply
    7,342.02x = 11,012.22 × 2,147.94
  4. Step 4: Simplify right side
    7,342.02x = 23,653,587.83
  5. Step 5: Solve for x
    x = 23,653,587.83/7,342.02
  6. Step 6: Final answer
    x = 3,221.67

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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.