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Finding the Fourth Proportional to 7,542.68, 10,408.73 and 4,185.45

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Solution

The fourth proportional to 7,542.68, 10,408.73 and 4,185.45 is: 5,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.68 : 10,408.73 = 4,185.45 : x
  2. Step 2: Convert to fraction form
    7,542.68/10,408.73 = 4,185.45/x
  3. Step 3: Cross multiply
    7,542.68x = 10,408.73 × 4,185.45
  4. Step 4: Simplify right side
    7,542.68x = 43,565,218.98
  5. Step 5: Solve for x
    x = 43,565,218.98/7,542.68
  6. Step 6: Final answer
    x = 5,775.83

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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.