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Finding the Fourth Proportional to 8,678.57, 13,007.42 and 3,992.12

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Solution

The fourth proportional to 8,678.57, 13,007.42 and 3,992.12 is: 5,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.57 : 13,007.42 = 3,992.12 : x
  2. Step 2: Convert to fraction form
    8,678.57/13,007.42 = 3,992.12/x
  3. Step 3: Cross multiply
    8,678.57x = 13,007.42 × 3,992.12
  4. Step 4: Simplify right side
    8,678.57x = 51,927,171.55
  5. Step 5: Solve for x
    x = 51,927,171.55/8,678.57
  6. Step 6: Final answer
    x = 5,983.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.