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Finding the Fourth Proportional to 10,485.44, 14,469.78 and 5,705.52

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Solution

The fourth proportional to 10,485.44, 14,469.78 and 5,705.52 is: 7,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.44 : 14,469.78 = 5,705.52 : x
  2. Step 2: Convert to fraction form
    10,485.44/14,469.78 = 5,705.52/x
  3. Step 3: Cross multiply
    10,485.44x = 14,469.78 × 5,705.52
  4. Step 4: Simplify right side
    10,485.44x = 82,557,619.19
  5. Step 5: Solve for x
    x = 82,557,619.19/10,485.44
  6. Step 6: Final answer
    x = 7,873.55

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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.