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Finding the Fourth Proportional to 11,147.74, 16,715.42 and 4,578.54

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Solution

The fourth proportional to 11,147.74, 16,715.42 and 4,578.54 is: 6,865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.74 : 16,715.42 = 4,578.54 : x
  2. Step 2: Convert to fraction form
    11,147.74/16,715.42 = 4,578.54/x
  3. Step 3: Cross multiply
    11,147.74x = 16,715.42 × 4,578.54
  4. Step 4: Simplify right side
    11,147.74x = 76,532,219.09
  5. Step 5: Solve for x
    x = 76,532,219.09/11,147.74
  6. Step 6: Final answer
    x = 6,865.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.