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Finding the Fourth Proportional to 10,236.22, 14,110.94 and 7,242.82

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Solution

The fourth proportional to 10,236.22, 14,110.94 and 7,242.82 is: 9,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,236.22 : 14,110.94 = 7,242.82 : x
  2. Step 2: Convert to fraction form
    10,236.22/14,110.94 = 7,242.82/x
  3. Step 3: Cross multiply
    10,236.22x = 14,110.94 × 7,242.82
  4. Step 4: Simplify right side
    10,236.22x = 102,202,998.45
  5. Step 5: Solve for x
    x = 102,202,998.45/10,236.22
  6. Step 6: Final answer
    x = 9,984.45

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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.