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Finding the Fourth Proportional to 7,834.62, 10,811.43 and 4,477.98

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Solution

The fourth proportional to 7,834.62, 10,811.43 and 4,477.98 is: 6,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.62 : 10,811.43 = 4,477.98 : x
  2. Step 2: Convert to fraction form
    7,834.62/10,811.43 = 4,477.98/x
  3. Step 3: Cross multiply
    7,834.62x = 10,811.43 × 4,477.98
  4. Step 4: Simplify right side
    7,834.62x = 48,413,367.31
  5. Step 5: Solve for x
    x = 48,413,367.31/7,834.62
  6. Step 6: Final answer
    x = 6,179.41

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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.