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Finding the Fourth Proportional to 7,887.56, 10,886 and 5,198.36

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Solution

The fourth proportional to 7,887.56, 10,886 and 5,198.36 is: 7,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.56 : 10,886 = 5,198.36 : x
  2. Step 2: Convert to fraction form
    7,887.56/10,886 = 5,198.36/x
  3. Step 3: Cross multiply
    7,887.56x = 10,886 × 5,198.36
  4. Step 4: Simplify right side
    7,887.56x = 56,589,346.96
  5. Step 5: Solve for x
    x = 56,589,346.96/7,887.56
  6. Step 6: Final answer
    x = 7,174.51

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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.