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Finding the Fourth Proportional to 11,655.78, 16,072.24 and 7,872.37

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Solution

The fourth proportional to 11,655.78, 16,072.24 and 7,872.37 is: 10,855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.78 : 16,072.24 = 7,872.37 : x
  2. Step 2: Convert to fraction form
    11,655.78/16,072.24 = 7,872.37/x
  3. Step 3: Cross multiply
    11,655.78x = 16,072.24 × 7,872.37
  4. Step 4: Simplify right side
    11,655.78x = 126,526,699.96
  5. Step 5: Solve for x
    x = 126,526,699.96/11,655.78
  6. Step 6: Final answer
    x = 10,855.28

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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.