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Finding the Fourth Proportional to 11,612.80, 16,026.12 and 6,577.26

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Solution

The fourth proportional to 11,612.80, 16,026.12 and 6,577.26 is: 9,076.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.80 : 16,026.12 = 6,577.26 : x
  2. Step 2: Convert to fraction form
    11,612.80/16,026.12 = 6,577.26/x
  3. Step 3: Cross multiply
    11,612.80x = 16,026.12 × 6,577.26
  4. Step 4: Simplify right side
    11,612.80x = 105,407,958.03
  5. Step 5: Solve for x
    x = 105,407,958.03/11,612.80
  6. Step 6: Final answer
    x = 9,076.88

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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.