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Finding the Fourth Proportional to 8,000.19, 11,040.48 and 4,464.09

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Solution

The fourth proportional to 8,000.19, 11,040.48 and 4,464.09 is: 6,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.19 : 11,040.48 = 4,464.09 : x
  2. Step 2: Convert to fraction form
    8,000.19/11,040.48 = 4,464.09/x
  3. Step 3: Cross multiply
    8,000.19x = 11,040.48 × 4,464.09
  4. Step 4: Simplify right side
    8,000.19x = 49,285,696.36
  5. Step 5: Solve for x
    x = 49,285,696.36/8,000.19
  6. Step 6: Final answer
    x = 6,160.57

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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.