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Finding the Fourth Proportional to 7,632.44, 11,451.25 and 4,818

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Solution

The fourth proportional to 7,632.44, 11,451.25 and 4,818 is: 7,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.44 : 11,451.25 = 4,818 : x
  2. Step 2: Convert to fraction form
    7,632.44/11,451.25 = 4,818/x
  3. Step 3: Cross multiply
    7,632.44x = 11,451.25 × 4,818
  4. Step 4: Simplify right side
    7,632.44x = 55,172,122.50
  5. Step 5: Solve for x
    x = 55,172,122.50/7,632.44
  6. Step 6: Final answer
    x = 7,228.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.