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Finding the Fourth Proportional to 11,647.80, 16,059.06 and 7,662.60

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Solution

The fourth proportional to 11,647.80, 16,059.06 and 7,662.60 is: 10,564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.80 : 16,059.06 = 7,662.60 : x
  2. Step 2: Convert to fraction form
    11,647.80/16,059.06 = 7,662.60/x
  3. Step 3: Cross multiply
    11,647.80x = 16,059.06 × 7,662.60
  4. Step 4: Simplify right side
    11,647.80x = 123,054,153.16
  5. Step 5: Solve for x
    x = 123,054,153.16/11,647.80
  6. Step 6: Final answer
    x = 10,564.58

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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.