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Finding the Fourth Proportional to 7,834.66, 10,811.73 and 4,477.44

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Solution

The fourth proportional to 7,834.66, 10,811.73 and 4,477.44 is: 6,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.66 : 10,811.73 = 4,477.44 : x
  2. Step 2: Convert to fraction form
    7,834.66/10,811.73 = 4,477.44/x
  3. Step 3: Cross multiply
    7,834.66x = 10,811.73 × 4,477.44
  4. Step 4: Simplify right side
    7,834.66x = 48,408,872.37
  5. Step 5: Solve for x
    x = 48,408,872.37/7,834.66
  6. Step 6: Final answer
    x = 6,178.81

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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.