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Finding the Fourth Proportional to 10,814.92, 14,924.45 and 6,099.23

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Solution

The fourth proportional to 10,814.92, 14,924.45 and 6,099.23 is: 8,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.92 : 14,924.45 = 6,099.23 : x
  2. Step 2: Convert to fraction form
    10,814.92/14,924.45 = 6,099.23/x
  3. Step 3: Cross multiply
    10,814.92x = 14,924.45 × 6,099.23
  4. Step 4: Simplify right side
    10,814.92x = 91,027,705.73
  5. Step 5: Solve for x
    x = 91,027,705.73/10,814.92
  6. Step 6: Final answer
    x = 8,416.87

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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.