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Finding the Fourth Proportional to 10,707.76, 14,776.73 and 5,992.04

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Solution

The fourth proportional to 10,707.76, 14,776.73 and 5,992.04 is: 8,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.76 : 14,776.73 = 5,992.04 : x
  2. Step 2: Convert to fraction form
    10,707.76/14,776.73 = 5,992.04/x
  3. Step 3: Cross multiply
    10,707.76x = 14,776.73 × 5,992.04
  4. Step 4: Simplify right side
    10,707.76x = 88,542,786.68
  5. Step 5: Solve for x
    x = 88,542,786.68/10,707.76
  6. Step 6: Final answer
    x = 8,269.03

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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.