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Finding the Fourth Proportional to 7,542.96, 10,408.82 and 4,557.03

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Solution

The fourth proportional to 7,542.96, 10,408.82 and 4,557.03 is: 6,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.96 : 10,408.82 = 4,557.03 : x
  2. Step 2: Convert to fraction form
    7,542.96/10,408.82 = 4,557.03/x
  3. Step 3: Cross multiply
    7,542.96x = 10,408.82 × 4,557.03
  4. Step 4: Simplify right side
    7,542.96x = 47,433,282.22
  5. Step 5: Solve for x
    x = 47,433,282.22/7,542.96
  6. Step 6: Final answer
    x = 6,288.42

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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.