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Finding the Fourth Proportional to 8,686.10, 11,991.94 and 5,707.14

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Solution

The fourth proportional to 8,686.10, 11,991.94 and 5,707.14 is: 7,879.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.10 : 11,991.94 = 5,707.14 : x
  2. Step 2: Convert to fraction form
    8,686.10/11,991.94 = 5,707.14/x
  3. Step 3: Cross multiply
    8,686.10x = 11,991.94 × 5,707.14
  4. Step 4: Simplify right side
    8,686.10x = 68,439,680.45
  5. Step 5: Solve for x
    x = 68,439,680.45/8,686.10
  6. Step 6: Final answer
    x = 7,879.22

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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.