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Finding the Fourth Proportional to 7,674.97, 11,501.32 and 4,162

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Solution

The fourth proportional to 7,674.97, 11,501.32 and 4,162 is: 6,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.97 : 11,501.32 = 4,162 : x
  2. Step 2: Convert to fraction form
    7,674.97/11,501.32 = 4,162/x
  3. Step 3: Cross multiply
    7,674.97x = 11,501.32 × 4,162
  4. Step 4: Simplify right side
    7,674.97x = 47,868,493.84
  5. Step 5: Solve for x
    x = 47,868,493.84/7,674.97
  6. Step 6: Final answer
    x = 6,236.96

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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.