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Finding the Fourth Proportional to 11,493.46, 15,861.78 and 7,019.62

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Solution

The fourth proportional to 11,493.46, 15,861.78 and 7,019.62 is: 9,687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.46 : 15,861.78 = 7,019.62 : x
  2. Step 2: Convert to fraction form
    11,493.46/15,861.78 = 7,019.62/x
  3. Step 3: Cross multiply
    11,493.46x = 15,861.78 × 7,019.62
  4. Step 4: Simplify right side
    11,493.46x = 111,343,668.12
  5. Step 5: Solve for x
    x = 111,343,668.12/11,493.46
  6. Step 6: Final answer
    x = 9,687.57

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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.