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Finding the Fourth Proportional to 11,574.45, 15,972.69 and 6,269.25

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Solution

The fourth proportional to 11,574.45, 15,972.69 and 6,269.25 is: 8,651.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.45 : 15,972.69 = 6,269.25 : x
  2. Step 2: Convert to fraction form
    11,574.45/15,972.69 = 6,269.25/x
  3. Step 3: Cross multiply
    11,574.45x = 15,972.69 × 6,269.25
  4. Step 4: Simplify right side
    11,574.45x = 100,136,786.78
  5. Step 5: Solve for x
    x = 100,136,786.78/11,574.45
  6. Step 6: Final answer
    x = 8,651.54

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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.