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Finding the Fourth Proportional to 12,756.77, 17,605.55 and 7,722.25

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Solution

The fourth proportional to 12,756.77, 17,605.55 and 7,722.25 is: 10,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.77 : 17,605.55 = 7,722.25 : x
  2. Step 2: Convert to fraction form
    12,756.77/17,605.55 = 7,722.25/x
  3. Step 3: Cross multiply
    12,756.77x = 17,605.55 × 7,722.25
  4. Step 4: Simplify right side
    12,756.77x = 135,954,375.86
  5. Step 5: Solve for x
    x = 135,954,375.86/12,756.77
  6. Step 6: Final answer
    x = 10,657.43

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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.