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Finding the Fourth Proportional to 7,542.57, 10,408.71 and 4,185.42

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Solution

The fourth proportional to 7,542.57, 10,408.71 and 4,185.42 is: 5,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.57 : 10,408.71 = 4,185.42 : x
  2. Step 2: Convert to fraction form
    7,542.57/10,408.71 = 4,185.42/x
  3. Step 3: Cross multiply
    7,542.57x = 10,408.71 × 4,185.42
  4. Step 4: Simplify right side
    7,542.57x = 43,564,823.01
  5. Step 5: Solve for x
    x = 43,564,823.01/7,542.57
  6. Step 6: Final answer
    x = 5,775.86

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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.