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Finding the Fourth Proportional to 7,542.63, 10,408.86 and 4,185.44

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Solution

The fourth proportional to 7,542.63, 10,408.86 and 4,185.44 is: 5,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.63 : 10,408.86 = 4,185.44 : x
  2. Step 2: Convert to fraction form
    7,542.63/10,408.86 = 4,185.44/x
  3. Step 3: Cross multiply
    7,542.63x = 10,408.86 × 4,185.44
  4. Step 4: Simplify right side
    7,542.63x = 43,565,659.00
  5. Step 5: Solve for x
    x = 43,565,659.00/7,542.63
  6. Step 6: Final answer
    x = 5,775.92

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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.