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Finding the Fourth Proportional to 8,429.05, 11,633.09 and 5,073.54

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Solution

The fourth proportional to 8,429.05, 11,633.09 and 5,073.54 is: 7,002.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.05 : 11,633.09 = 5,073.54 : x
  2. Step 2: Convert to fraction form
    8,429.05/11,633.09 = 5,073.54/x
  3. Step 3: Cross multiply
    8,429.05x = 11,633.09 × 5,073.54
  4. Step 4: Simplify right side
    8,429.05x = 59,020,947.44
  5. Step 5: Solve for x
    x = 59,020,947.44/8,429.05
  6. Step 6: Final answer
    x = 7,002.09

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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.