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Finding the Fourth Proportional to 10,476.72, 14,453.74 and 5,998.05

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Solution

The fourth proportional to 10,476.72, 14,453.74 and 5,998.05 is: 8,274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.72 : 14,453.74 = 5,998.05 : x
  2. Step 2: Convert to fraction form
    10,476.72/14,453.74 = 5,998.05/x
  3. Step 3: Cross multiply
    10,476.72x = 14,453.74 × 5,998.05
  4. Step 4: Simplify right side
    10,476.72x = 86,694,255.21
  5. Step 5: Solve for x
    x = 86,694,255.21/10,476.72
  6. Step 6: Final answer
    x = 8,274.94

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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.