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Finding the Fourth Proportional to 7,467.80, 11,201.70 and 2,537.60

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Solution

The fourth proportional to 7,467.80, 11,201.70 and 2,537.60 is: 3,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.80 : 11,201.70 = 2,537.60 : x
  2. Step 2: Convert to fraction form
    7,467.80/11,201.70 = 2,537.60/x
  3. Step 3: Cross multiply
    7,467.80x = 11,201.70 × 2,537.60
  4. Step 4: Simplify right side
    7,467.80x = 28,425,433.92
  5. Step 5: Solve for x
    x = 28,425,433.92/7,467.80
  6. Step 6: Final answer
    x = 3,806.40

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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.