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Finding the Fourth Proportional to 10,231.88, 14,127 and 7,837.64

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Solution

The fourth proportional to 10,231.88, 14,127 and 7,837.64 is: 10,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.88 : 14,127 = 7,837.64 : x
  2. Step 2: Convert to fraction form
    10,231.88/14,127 = 7,837.64/x
  3. Step 3: Cross multiply
    10,231.88x = 14,127 × 7,837.64
  4. Step 4: Simplify right side
    10,231.88x = 110,722,340.28
  5. Step 5: Solve for x
    x = 110,722,340.28/10,231.88
  6. Step 6: Final answer
    x = 10,821.31

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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.