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Finding the Fourth Proportional to 11,533.54, 15,912.40 and 6,997.79

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Solution

The fourth proportional to 11,533.54, 15,912.40 and 6,997.79 is: 9,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.54 : 15,912.40 = 6,997.79 : x
  2. Step 2: Convert to fraction form
    11,533.54/15,912.40 = 6,997.79/x
  3. Step 3: Cross multiply
    11,533.54x = 15,912.40 × 6,997.79
  4. Step 4: Simplify right side
    11,533.54x = 111,351,669.00
  5. Step 5: Solve for x
    x = 111,351,669.00/11,533.54
  6. Step 6: Final answer
    x = 9,654.60

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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.