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Finding the Fourth Proportional to 10,732.26, 16,095.50 and 4,491

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Solution

The fourth proportional to 10,732.26, 16,095.50 and 4,491 is: 6,735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.26 : 16,095.50 = 4,491 : x
  2. Step 2: Convert to fraction form
    10,732.26/16,095.50 = 4,491/x
  3. Step 3: Cross multiply
    10,732.26x = 16,095.50 × 4,491
  4. Step 4: Simplify right side
    10,732.26x = 72,284,868.05
  5. Step 5: Solve for x
    x = 72,284,868.05/10,732.26
  6. Step 6: Final answer
    x = 6,735.29

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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.