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Finding the Fourth Proportional to 7,380.96, 10,186.56 and 4,194.96

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Solution

The fourth proportional to 7,380.96, 10,186.56 and 4,194.96 is: 5,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.96 : 10,186.56 = 4,194.96 : x
  2. Step 2: Convert to fraction form
    7,380.96/10,186.56 = 4,194.96/x
  3. Step 3: Cross multiply
    7,380.96x = 10,186.56 × 4,194.96
  4. Step 4: Simplify right side
    7,380.96x = 42,732,211.74
  5. Step 5: Solve for x
    x = 42,732,211.74/7,380.96
  6. Step 6: Final answer
    x = 5,789.52

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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.