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Finding the Fourth Proportional to 10,711.36, 14,783.07 and 5,996.62

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Solution

The fourth proportional to 10,711.36, 14,783.07 and 5,996.62 is: 8,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.36 : 14,783.07 = 5,996.62 : x
  2. Step 2: Convert to fraction form
    10,711.36/14,783.07 = 5,996.62/x
  3. Step 3: Cross multiply
    10,711.36x = 14,783.07 × 5,996.62
  4. Step 4: Simplify right side
    10,711.36x = 88,648,453.22
  5. Step 5: Solve for x
    x = 88,648,453.22/10,711.36
  6. Step 6: Final answer
    x = 8,276.12

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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.