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Finding the Fourth Proportional to 8,682.41, 11,969.16 and 5,693.06

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Solution

The fourth proportional to 8,682.41, 11,969.16 and 5,693.06 is: 7,848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.41 : 11,969.16 = 5,693.06 : x
  2. Step 2: Convert to fraction form
    8,682.41/11,969.16 = 5,693.06/x
  3. Step 3: Cross multiply
    8,682.41x = 11,969.16 × 5,693.06
  4. Step 4: Simplify right side
    8,682.41x = 68,141,086.18
  5. Step 5: Solve for x
    x = 68,141,086.18/8,682.41
  6. Step 6: Final answer
    x = 7,848.18

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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.