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Finding the Fourth Proportional to 12,757.74, 17,606.06 and 7,722.87

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Solution

The fourth proportional to 12,757.74, 17,606.06 and 7,722.87 is: 10,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.74 : 17,606.06 = 7,722.87 : x
  2. Step 2: Convert to fraction form
    12,757.74/17,606.06 = 7,722.87/x
  3. Step 3: Cross multiply
    12,757.74x = 17,606.06 × 7,722.87
  4. Step 4: Simplify right side
    12,757.74x = 135,969,312.59
  5. Step 5: Solve for x
    x = 135,969,312.59/12,757.74
  6. Step 6: Final answer
    x = 10,657.79

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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.