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Finding the Fourth Proportional to 7,543.68, 10,410.30 and 4,186.73

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Solution

The fourth proportional to 7,543.68, 10,410.30 and 4,186.73 is: 5,777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.68 : 10,410.30 = 4,186.73 : x
  2. Step 2: Convert to fraction form
    7,543.68/10,410.30 = 4,186.73/x
  3. Step 3: Cross multiply
    7,543.68x = 10,410.30 × 4,186.73
  4. Step 4: Simplify right side
    7,543.68x = 43,585,063.27
  5. Step 5: Solve for x
    x = 43,585,063.27/7,543.68
  6. Step 6: Final answer
    x = 5,777.69

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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.