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Finding the Fourth Proportional to 11,009.52, 16,504.56 and 7,743.60

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Solution

The fourth proportional to 11,009.52, 16,504.56 and 7,743.60 is: 11,608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.52 : 16,504.56 = 7,743.60 : x
  2. Step 2: Convert to fraction form
    11,009.52/16,504.56 = 7,743.60/x
  3. Step 3: Cross multiply
    11,009.52x = 16,504.56 × 7,743.60
  4. Step 4: Simplify right side
    11,009.52x = 127,804,710.82
  5. Step 5: Solve for x
    x = 127,804,710.82/11,009.52
  6. Step 6: Final answer
    x = 11,608.56

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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.