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Finding the Fourth Proportional to 11,285.66, 15,578.39 and 6,809.60

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Solution

The fourth proportional to 11,285.66, 15,578.39 and 6,809.60 is: 9,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,285.66 : 15,578.39 = 6,809.60 : x
  2. Step 2: Convert to fraction form
    11,285.66/15,578.39 = 6,809.60/x
  3. Step 3: Cross multiply
    11,285.66x = 15,578.39 × 6,809.60
  4. Step 4: Simplify right side
    11,285.66x = 106,082,604.54
  5. Step 5: Solve for x
    x = 106,082,604.54/11,285.66
  6. Step 6: Final answer
    x = 9,399.77

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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.