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Finding the Fourth Proportional to 10,791.23, 16,188.74 and 4,466.09

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Solution

The fourth proportional to 10,791.23, 16,188.74 and 4,466.09 is: 6,699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.23 : 16,188.74 = 4,466.09 : x
  2. Step 2: Convert to fraction form
    10,791.23/16,188.74 = 4,466.09/x
  3. Step 3: Cross multiply
    10,791.23x = 16,188.74 × 4,466.09
  4. Step 4: Simplify right side
    10,791.23x = 72,300,369.83
  5. Step 5: Solve for x
    x = 72,300,369.83/10,791.23
  6. Step 6: Final answer
    x = 6,699.92

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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.