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Finding the Fourth Proportional to 7,543.87, 10,410.64 and 4,186.78

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Solution

The fourth proportional to 7,543.87, 10,410.64 and 4,186.78 is: 5,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.87 : 10,410.64 = 4,186.78 : x
  2. Step 2: Convert to fraction form
    7,543.87/10,410.64 = 4,186.78/x
  3. Step 3: Cross multiply
    7,543.87x = 10,410.64 × 4,186.78
  4. Step 4: Simplify right side
    7,543.87x = 43,587,059.34
  5. Step 5: Solve for x
    x = 43,587,059.34/7,543.87
  6. Step 6: Final answer
    x = 5,777.81

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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.