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Finding the Fourth Proportional to 11,209.54, 15,466.44 and 7,380.78

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Solution

The fourth proportional to 11,209.54, 15,466.44 and 7,380.78 is: 10,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.54 : 15,466.44 = 7,380.78 : x
  2. Step 2: Convert to fraction form
    11,209.54/15,466.44 = 7,380.78/x
  3. Step 3: Cross multiply
    11,209.54x = 15,466.44 × 7,380.78
  4. Step 4: Simplify right side
    11,209.54x = 114,154,391.02
  5. Step 5: Solve for x
    x = 114,154,391.02/11,209.54
  6. Step 6: Final answer
    x = 10,183.68

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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.