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Finding the Fourth Proportional to 7,823.73, 10,797.83 and 4,466.84

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Solution

The fourth proportional to 7,823.73, 10,797.83 and 4,466.84 is: 6,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.73 : 10,797.83 = 4,466.84 : x
  2. Step 2: Convert to fraction form
    7,823.73/10,797.83 = 4,466.84/x
  3. Step 3: Cross multiply
    7,823.73x = 10,797.83 × 4,466.84
  4. Step 4: Simplify right side
    7,823.73x = 48,232,136.14
  5. Step 5: Solve for x
    x = 48,232,136.14/7,823.73
  6. Step 6: Final answer
    x = 6,164.85

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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.