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Finding the Fourth Proportional to 10,338.63, 14,262.88 and 8,091.48

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Solution

The fourth proportional to 10,338.63, 14,262.88 and 8,091.48 is: 11,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.63 : 14,262.88 = 8,091.48 : x
  2. Step 2: Convert to fraction form
    10,338.63/14,262.88 = 8,091.48/x
  3. Step 3: Cross multiply
    10,338.63x = 14,262.88 × 8,091.48
  4. Step 4: Simplify right side
    10,338.63x = 115,407,808.26
  5. Step 5: Solve for x
    x = 115,407,808.26/10,338.63
  6. Step 6: Final answer
    x = 11,162.78

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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.