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Finding the Fourth Proportional to 11,493.74, 15,861.14 and 6,457.97

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Solution

The fourth proportional to 11,493.74, 15,861.14 and 6,457.97 is: 8,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.74 : 15,861.14 = 6,457.97 : x
  2. Step 2: Convert to fraction form
    11,493.74/15,861.14 = 6,457.97/x
  3. Step 3: Cross multiply
    11,493.74x = 15,861.14 × 6,457.97
  4. Step 4: Simplify right side
    11,493.74x = 102,430,766.29
  5. Step 5: Solve for x
    x = 102,430,766.29/11,493.74
  6. Step 6: Final answer
    x = 8,911.87

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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.