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Finding the Fourth Proportional to 7,822.35, 10,794.85 and 4,237.35

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Solution

The fourth proportional to 7,822.35, 10,794.85 and 4,237.35 is: 5,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.35 : 10,794.85 = 4,237.35 : x
  2. Step 2: Convert to fraction form
    7,822.35/10,794.85 = 4,237.35/x
  3. Step 3: Cross multiply
    7,822.35x = 10,794.85 × 4,237.35
  4. Step 4: Simplify right side
    7,822.35x = 45,741,503.67
  5. Step 5: Solve for x
    x = 45,741,503.67/7,822.35
  6. Step 6: Final answer
    x = 5,847.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.