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Finding the Fourth Proportional to 6,775.69, 10,163.54 and 4,466.65

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Solution

The fourth proportional to 6,775.69, 10,163.54 and 4,466.65 is: 6,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.69 : 10,163.54 = 4,466.65 : x
  2. Step 2: Convert to fraction form
    6,775.69/10,163.54 = 4,466.65/x
  3. Step 3: Cross multiply
    6,775.69x = 10,163.54 × 4,466.65
  4. Step 4: Simplify right side
    6,775.69x = 45,396,959.19
  5. Step 5: Solve for x
    x = 45,396,959.19/6,775.69
  6. Step 6: Final answer
    x = 6,699.98

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