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Finding the Fourth Proportional to 11,493.43, 15,861.42 and 6,457.56

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Solution

The fourth proportional to 11,493.43, 15,861.42 and 6,457.56 is: 8,911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.43 : 15,861.42 = 6,457.56 : x
  2. Step 2: Convert to fraction form
    11,493.43/15,861.42 = 6,457.56/x
  3. Step 3: Cross multiply
    11,493.43x = 15,861.42 × 6,457.56
  4. Step 4: Simplify right side
    11,493.43x = 102,426,011.85
  5. Step 5: Solve for x
    x = 102,426,011.85/11,493.43
  6. Step 6: Final answer
    x = 8,911.70

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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.