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Finding the Fourth Proportional to 7,778.90, 11,658.26 and 4,071.74

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Solution

The fourth proportional to 7,778.90, 11,658.26 and 4,071.74 is: 6,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.90 : 11,658.26 = 4,071.74 : x
  2. Step 2: Convert to fraction form
    7,778.90/11,658.26 = 4,071.74/x
  3. Step 3: Cross multiply
    7,778.90x = 11,658.26 × 4,071.74
  4. Step 4: Simplify right side
    7,778.90x = 47,469,355.46
  5. Step 5: Solve for x
    x = 47,469,355.46/7,778.90
  6. Step 6: Final answer
    x = 6,102.33

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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.