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Finding the Fourth Proportional to 7,822.45, 10,794.78 and 4,464.61

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Solution

The fourth proportional to 7,822.45, 10,794.78 and 4,464.61 is: 6,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.45 : 10,794.78 = 4,464.61 : x
  2. Step 2: Convert to fraction form
    7,822.45/10,794.78 = 4,464.61/x
  3. Step 3: Cross multiply
    7,822.45x = 10,794.78 × 4,464.61
  4. Step 4: Simplify right side
    7,822.45x = 48,194,515.16
  5. Step 5: Solve for x
    x = 48,194,515.16/7,822.45
  6. Step 6: Final answer
    x = 6,161.05

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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.