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Finding the Fourth Proportional to 11,647.56, 16,062.40 and 7,663.72

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Solution

The fourth proportional to 11,647.56, 16,062.40 and 7,663.72 is: 10,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.56 : 16,062.40 = 7,663.72 : x
  2. Step 2: Convert to fraction form
    11,647.56/16,062.40 = 7,663.72/x
  3. Step 3: Cross multiply
    11,647.56x = 16,062.40 × 7,663.72
  4. Step 4: Simplify right side
    11,647.56x = 123,097,736.13
  5. Step 5: Solve for x
    x = 123,097,736.13/11,647.56
  6. Step 6: Final answer
    x = 10,568.54

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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.