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Finding the Fourth Proportional to 11,505.44, 17,280.05 and 7,153.31

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Solution

The fourth proportional to 11,505.44, 17,280.05 and 7,153.31 is: 10,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.44 : 17,280.05 = 7,153.31 : x
  2. Step 2: Convert to fraction form
    11,505.44/17,280.05 = 7,153.31/x
  3. Step 3: Cross multiply
    11,505.44x = 17,280.05 × 7,153.31
  4. Step 4: Simplify right side
    11,505.44x = 123,609,561.90
  5. Step 5: Solve for x
    x = 123,609,561.90/11,505.44
  6. Step 6: Final answer
    x = 10,743.57

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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.