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Finding the Fourth Proportional to 7,137.89, 10,704.16 and 2,456.57

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Solution

The fourth proportional to 7,137.89, 10,704.16 and 2,456.57 is: 3,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.89 : 10,704.16 = 2,456.57 : x
  2. Step 2: Convert to fraction form
    7,137.89/10,704.16 = 2,456.57/x
  3. Step 3: Cross multiply
    7,137.89x = 10,704.16 × 2,456.57
  4. Step 4: Simplify right side
    7,137.89x = 26,295,518.33
  5. Step 5: Solve for x
    x = 26,295,518.33/7,137.89
  6. Step 6: Final answer
    x = 3,683.93

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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.