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Finding the Fourth Proportional to 7,543.69, 10,410.53 and 4,186.75

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Solution

The fourth proportional to 7,543.69, 10,410.53 and 4,186.75 is: 5,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.69 : 10,410.53 = 4,186.75 : x
  2. Step 2: Convert to fraction form
    7,543.69/10,410.53 = 4,186.75/x
  3. Step 3: Cross multiply
    7,543.69x = 10,410.53 × 4,186.75
  4. Step 4: Simplify right side
    7,543.69x = 43,586,286.48
  5. Step 5: Solve for x
    x = 43,586,286.48/7,543.69
  6. Step 6: Final answer
    x = 5,777.85

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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.