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Finding the Fourth Proportional to 7,773.44, 11,658.26 and 2,225.48

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Solution

The fourth proportional to 7,773.44, 11,658.26 and 2,225.48 is: 3,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.44 : 11,658.26 = 2,225.48 : x
  2. Step 2: Convert to fraction form
    7,773.44/11,658.26 = 2,225.48/x
  3. Step 3: Cross multiply
    7,773.44x = 11,658.26 × 2,225.48
  4. Step 4: Simplify right side
    7,773.44x = 25,945,171.74
  5. Step 5: Solve for x
    x = 25,945,171.74/7,773.44
  6. Step 6: Final answer
    x = 3,337.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.