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Finding the Fourth Proportional to 11,467.82, 15,826.92 and 6,752

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Solution

The fourth proportional to 11,467.82, 15,826.92 and 6,752 is: 9,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.82 : 15,826.92 = 6,752 : x
  2. Step 2: Convert to fraction form
    11,467.82/15,826.92 = 6,752/x
  3. Step 3: Cross multiply
    11,467.82x = 15,826.92 × 6,752
  4. Step 4: Simplify right side
    11,467.82x = 106,863,363.84
  5. Step 5: Solve for x
    x = 106,863,363.84/11,467.82
  6. Step 6: Final answer
    x = 9,318.54

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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.