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Finding the Fourth Proportional to 10,469.93, 14,448.39 and 5,993.60

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Solution

The fourth proportional to 10,469.93, 14,448.39 and 5,993.60 is: 8,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.93 : 14,448.39 = 5,993.60 : x
  2. Step 2: Convert to fraction form
    10,469.93/14,448.39 = 5,993.60/x
  3. Step 3: Cross multiply
    10,469.93x = 14,448.39 × 5,993.60
  4. Step 4: Simplify right side
    10,469.93x = 86,597,870.30
  5. Step 5: Solve for x
    x = 86,597,870.30/10,469.93
  6. Step 6: Final answer
    x = 8,271.10

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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.