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Finding the Fourth Proportional to 10,446.96, 14,416.83 and 5,731.14

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Solution

The fourth proportional to 10,446.96, 14,416.83 and 5,731.14 is: 7,908.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.96 : 14,416.83 = 5,731.14 : x
  2. Step 2: Convert to fraction form
    10,446.96/14,416.83 = 5,731.14/x
  3. Step 3: Cross multiply
    10,446.96x = 14,416.83 × 5,731.14
  4. Step 4: Simplify right side
    10,446.96x = 82,624,871.09
  5. Step 5: Solve for x
    x = 82,624,871.09/10,446.96
  6. Step 6: Final answer
    x = 7,908.99

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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.