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Finding the Fourth Proportional to 11,046.16, 16,570.68 and 7,294.48

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Solution

The fourth proportional to 11,046.16, 16,570.68 and 7,294.48 is: 10,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046.16 : 16,570.68 = 7,294.48 : x
  2. Step 2: Convert to fraction form
    11,046.16/16,570.68 = 7,294.48/x
  3. Step 3: Cross multiply
    11,046.16x = 16,570.68 × 7,294.48
  4. Step 4: Simplify right side
    11,046.16x = 120,874,493.85
  5. Step 5: Solve for x
    x = 120,874,493.85/11,046.16
  6. Step 6: Final answer
    x = 10,942.67

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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.