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Finding the Fourth Proportional to 7,543.08, 10,408.74 and 4,185.75

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Solution

The fourth proportional to 7,543.08, 10,408.74 and 4,185.75 is: 5,775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.08 : 10,408.74 = 4,185.75 : x
  2. Step 2: Convert to fraction form
    7,543.08/10,408.74 = 4,185.75/x
  3. Step 3: Cross multiply
    7,543.08x = 10,408.74 × 4,185.75
  4. Step 4: Simplify right side
    7,543.08x = 43,568,383.46
  5. Step 5: Solve for x
    x = 43,568,383.46/7,543.08
  6. Step 6: Final answer
    x = 5,775.94

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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.