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Finding the Fourth Proportional to 7,841.37, 11,751 and 4,332.96

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Solution

The fourth proportional to 7,841.37, 11,751 and 4,332.96 is: 6,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.37 : 11,751 = 4,332.96 : x
  2. Step 2: Convert to fraction form
    7,841.37/11,751 = 4,332.96/x
  3. Step 3: Cross multiply
    7,841.37x = 11,751 × 4,332.96
  4. Step 4: Simplify right side
    7,841.37x = 50,916,612.96
  5. Step 5: Solve for x
    x = 50,916,612.96/7,841.37
  6. Step 6: Final answer
    x = 6,493.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.