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Finding the Fourth Proportional to 10,570.44, 14,586.03 and 5,853.54

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Solution

The fourth proportional to 10,570.44, 14,586.03 and 5,853.54 is: 8,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.44 : 14,586.03 = 5,853.54 : x
  2. Step 2: Convert to fraction form
    10,570.44/14,586.03 = 5,853.54/x
  3. Step 3: Cross multiply
    10,570.44x = 14,586.03 × 5,853.54
  4. Step 4: Simplify right side
    10,570.44x = 85,379,910.05
  5. Step 5: Solve for x
    x = 85,379,910.05/10,570.44
  6. Step 6: Final answer
    x = 8,077.23

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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.