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Finding the Fourth Proportional to 7,609.41, 11,416.71 and 4,099.78

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Solution

The fourth proportional to 7,609.41, 11,416.71 and 4,099.78 is: 6,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.41 : 11,416.71 = 4,099.78 : x
  2. Step 2: Convert to fraction form
    7,609.41/11,416.71 = 4,099.78/x
  3. Step 3: Cross multiply
    7,609.41x = 11,416.71 × 4,099.78
  4. Step 4: Simplify right side
    7,609.41x = 46,805,999.88
  5. Step 5: Solve for x
    x = 46,805,999.88/7,609.41
  6. Step 6: Final answer
    x = 6,151.07

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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.