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Finding the Fourth Proportional to 6,007.92, 8,230.71 and 5,783.30

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Solution

The fourth proportional to 6,007.92, 8,230.71 and 5,783.30 is: 7,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.92 : 8,230.71 = 5,783.30 : x
  2. Step 2: Convert to fraction form
    6,007.92/8,230.71 = 5,783.30/x
  3. Step 3: Cross multiply
    6,007.92x = 8,230.71 × 5,783.30
  4. Step 4: Simplify right side
    6,007.92x = 47,600,692.95
  5. Step 5: Solve for x
    x = 47,600,692.95/6,007.92
  6. Step 6: Final answer
    x = 7,922.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.