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Finding the Fourth Proportional to 7,622.48, 10,520.52 and 4,826

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Solution

The fourth proportional to 7,622.48, 10,520.52 and 4,826 is: 6,660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622.48 : 10,520.52 = 4,826 : x
  2. Step 2: Convert to fraction form
    7,622.48/10,520.52 = 4,826/x
  3. Step 3: Cross multiply
    7,622.48x = 10,520.52 × 4,826
  4. Step 4: Simplify right side
    7,622.48x = 50,772,029.52
  5. Step 5: Solve for x
    x = 50,772,029.52/7,622.48
  6. Step 6: Final answer
    x = 6,660.83

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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.