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Finding the Fourth Proportional to 8,686.97, 11,983.59 and 5,494.88

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Solution

The fourth proportional to 8,686.97, 11,983.59 and 5,494.88 is: 7,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.97 : 11,983.59 = 5,494.88 : x
  2. Step 2: Convert to fraction form
    8,686.97/11,983.59 = 5,494.88/x
  3. Step 3: Cross multiply
    8,686.97x = 11,983.59 × 5,494.88
  4. Step 4: Simplify right side
    8,686.97x = 65,848,418.98
  5. Step 5: Solve for x
    x = 65,848,418.98/8,686.97
  6. Step 6: Final answer
    x = 7,580.14

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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.