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Finding the Fourth Proportional to 11,796.31, 16,278.90 and 7,080.58

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Solution

The fourth proportional to 11,796.31, 16,278.90 and 7,080.58 is: 9,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.31 : 16,278.90 = 7,080.58 : x
  2. Step 2: Convert to fraction form
    11,796.31/16,278.90 = 7,080.58/x
  3. Step 3: Cross multiply
    11,796.31x = 16,278.90 × 7,080.58
  4. Step 4: Simplify right side
    11,796.31x = 115,264,053.76
  5. Step 5: Solve for x
    x = 115,264,053.76/11,796.31
  6. Step 6: Final answer
    x = 9,771.20

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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.