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Finding the Fourth Proportional to 11,891.10, 16,404.57 and 7,172.67

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Solution

The fourth proportional to 11,891.10, 16,404.57 and 7,172.67 is: 9,895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.10 : 16,404.57 = 7,172.67 : x
  2. Step 2: Convert to fraction form
    11,891.10/16,404.57 = 7,172.67/x
  3. Step 3: Cross multiply
    11,891.10x = 16,404.57 × 7,172.67
  4. Step 4: Simplify right side
    11,891.10x = 117,664,567.10
  5. Step 5: Solve for x
    x = 117,664,567.10/11,891.10
  6. Step 6: Final answer
    x = 9,895.18

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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.