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Finding the Fourth Proportional to 11,533.72, 15,812.73 and 11,323.53

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Solution

The fourth proportional to 11,533.72, 15,812.73 and 11,323.53 is: 15,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.72 : 15,812.73 = 11,323.53 : x
  2. Step 2: Convert to fraction form
    11,533.72/15,812.73 = 11,323.53/x
  3. Step 3: Cross multiply
    11,533.72x = 15,812.73 × 11,323.53
  4. Step 4: Simplify right side
    11,533.72x = 179,055,938.03
  5. Step 5: Solve for x
    x = 179,055,938.03/11,533.72
  6. Step 6: Final answer
    x = 15,524.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.