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Finding the Fourth Proportional to 7,537.92, 10,408.32 and 5,448.96

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Solution

The fourth proportional to 7,537.92, 10,408.32 and 5,448.96 is: 7,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.92 : 10,408.32 = 5,448.96 : x
  2. Step 2: Convert to fraction form
    7,537.92/10,408.32 = 5,448.96/x
  3. Step 3: Cross multiply
    7,537.92x = 10,408.32 × 5,448.96
  4. Step 4: Simplify right side
    7,537.92x = 56,714,519.35
  5. Step 5: Solve for x
    x = 56,714,519.35/7,537.92
  6. Step 6: Final answer
    x = 7,523.90

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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.