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Finding the Fourth Proportional to 11,493.68, 15,861.21 and 6,457.91

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Solution

The fourth proportional to 11,493.68, 15,861.21 and 6,457.91 is: 8,911.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.68 : 15,861.21 = 6,457.91 : x
  2. Step 2: Convert to fraction form
    11,493.68/15,861.21 = 6,457.91/x
  3. Step 3: Cross multiply
    11,493.68x = 15,861.21 × 6,457.91
  4. Step 4: Simplify right side
    11,493.68x = 102,430,266.67
  5. Step 5: Solve for x
    x = 102,430,266.67/11,493.68
  6. Step 6: Final answer
    x = 8,911.88

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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.