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Finding the Fourth Proportional to 7,733, 11,600.20 and 2,186.40

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Solution

The fourth proportional to 7,733, 11,600.20 and 2,186.40 is: 3,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733 : 11,600.20 = 2,186.40 : x
  2. Step 2: Convert to fraction form
    7,733/11,600.20 = 2,186.40/x
  3. Step 3: Cross multiply
    7,733x = 11,600.20 × 2,186.40
  4. Step 4: Simplify right side
    7,733x = 25,362,677.28
  5. Step 5: Solve for x
    x = 25,362,677.28/7,733
  6. Step 6: Final answer
    x = 3,279.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.