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Finding the Fourth Proportional to 11,796.08, 16,278.53 and 7,080.35

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Solution

The fourth proportional to 11,796.08, 16,278.53 and 7,080.35 is: 9,770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.08 : 16,278.53 = 7,080.35 : x
  2. Step 2: Convert to fraction form
    11,796.08/16,278.53 = 7,080.35/x
  3. Step 3: Cross multiply
    11,796.08x = 16,278.53 × 7,080.35
  4. Step 4: Simplify right side
    11,796.08x = 115,257,573.09
  5. Step 5: Solve for x
    x = 115,257,573.09/11,796.08
  6. Step 6: Final answer
    x = 9,770.84

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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.