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Finding the Fourth Proportional to 8,685.36, 11,983.95 and 5,149.71

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Solution

The fourth proportional to 8,685.36, 11,983.95 and 5,149.71 is: 7,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685.36 : 11,983.95 = 5,149.71 : x
  2. Step 2: Convert to fraction form
    8,685.36/11,983.95 = 5,149.71/x
  3. Step 3: Cross multiply
    8,685.36x = 11,983.95 × 5,149.71
  4. Step 4: Simplify right side
    8,685.36x = 61,713,867.15
  5. Step 5: Solve for x
    x = 61,713,867.15/8,685.36
  6. Step 6: Final answer
    x = 7,105.50

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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.