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Finding the Fourth Proportional to 7,543.89, 10,410.75 and 4,186.84

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Solution

The fourth proportional to 7,543.89, 10,410.75 and 4,186.84 is: 5,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.89 : 10,410.75 = 4,186.84 : x
  2. Step 2: Convert to fraction form
    7,543.89/10,410.75 = 4,186.84/x
  3. Step 3: Cross multiply
    7,543.89x = 10,410.75 × 4,186.84
  4. Step 4: Simplify right side
    7,543.89x = 43,588,144.53
  5. Step 5: Solve for x
    x = 43,588,144.53/7,543.89
  6. Step 6: Final answer
    x = 5,777.94

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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.