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Finding the Fourth Proportional to 10,469.82, 14,448.72 and 5,993.46

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Solution

The fourth proportional to 10,469.82, 14,448.72 and 5,993.46 is: 8,271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.82 : 14,448.72 = 5,993.46 : x
  2. Step 2: Convert to fraction form
    10,469.82/14,448.72 = 5,993.46/x
  3. Step 3: Cross multiply
    10,469.82x = 14,448.72 × 5,993.46
  4. Step 4: Simplify right side
    10,469.82x = 86,597,825.37
  5. Step 5: Solve for x
    x = 86,597,825.37/10,469.82
  6. Step 6: Final answer
    x = 8,271.19

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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.