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Finding the Fourth Proportional to 11,923.71, 16,457.18 and 8,337.71

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Solution

The fourth proportional to 11,923.71, 16,457.18 and 8,337.71 is: 11,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.71 : 16,457.18 = 8,337.71 : x
  2. Step 2: Convert to fraction form
    11,923.71/16,457.18 = 8,337.71/x
  3. Step 3: Cross multiply
    11,923.71x = 16,457.18 × 8,337.71
  4. Step 4: Simplify right side
    11,923.71x = 137,215,147.43
  5. Step 5: Solve for x
    x = 137,215,147.43/11,923.71
  6. Step 6: Final answer
    x = 11,507.76

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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.