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Finding the Fourth Proportional to 12,761.85, 17,612.55 and 7,727.31

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Solution

The fourth proportional to 12,761.85, 17,612.55 and 7,727.31 is: 10,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.85 : 17,612.55 = 7,727.31 : x
  2. Step 2: Convert to fraction form
    12,761.85/17,612.55 = 7,727.31/x
  3. Step 3: Cross multiply
    12,761.85x = 17,612.55 × 7,727.31
  4. Step 4: Simplify right side
    12,761.85x = 136,097,633.74
  5. Step 5: Solve for x
    x = 136,097,633.74/12,761.85
  6. Step 6: Final answer
    x = 10,664.41

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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.