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Finding the Fourth Proportional to 10,707.75, 14,776.70 and 5,992.94

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Solution

The fourth proportional to 10,707.75, 14,776.70 and 5,992.94 is: 8,270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.75 : 14,776.70 = 5,992.94 : x
  2. Step 2: Convert to fraction form
    10,707.75/14,776.70 = 5,992.94/x
  3. Step 3: Cross multiply
    10,707.75x = 14,776.70 × 5,992.94
  4. Step 4: Simplify right side
    10,707.75x = 88,555,883.48
  5. Step 5: Solve for x
    x = 88,555,883.48/10,707.75
  6. Step 6: Final answer
    x = 8,270.26

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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.