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Finding the Fourth Proportional to 10,456.64, 15,676.32 and 7,161.56

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Solution

The fourth proportional to 10,456.64, 15,676.32 and 7,161.56 is: 10,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.64 : 15,676.32 = 7,161.56 : x
  2. Step 2: Convert to fraction form
    10,456.64/15,676.32 = 7,161.56/x
  3. Step 3: Cross multiply
    10,456.64x = 15,676.32 × 7,161.56
  4. Step 4: Simplify right side
    10,456.64x = 112,266,906.26
  5. Step 5: Solve for x
    x = 112,266,906.26/10,456.64
  6. Step 6: Final answer
    x = 10,736.42

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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.