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Finding the Fourth Proportional to 7,794.90, 11,685.40 and 3,408.89

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Solution

The fourth proportional to 7,794.90, 11,685.40 and 3,408.89 is: 5,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.90 : 11,685.40 = 3,408.89 : x
  2. Step 2: Convert to fraction form
    7,794.90/11,685.40 = 3,408.89/x
  3. Step 3: Cross multiply
    7,794.90x = 11,685.40 × 3,408.89
  4. Step 4: Simplify right side
    7,794.90x = 39,834,176.26
  5. Step 5: Solve for x
    x = 39,834,176.26/7,794.90
  6. Step 6: Final answer
    x = 5,110.29

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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.