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Finding the Fourth Proportional to 8,971.36, 12,380.47 and 4,992.48

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Solution

The fourth proportional to 8,971.36, 12,380.47 and 4,992.48 is: 6,889.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.36 : 12,380.47 = 4,992.48 : x
  2. Step 2: Convert to fraction form
    8,971.36/12,380.47 = 4,992.48/x
  3. Step 3: Cross multiply
    8,971.36x = 12,380.47 × 4,992.48
  4. Step 4: Simplify right side
    8,971.36x = 61,809,236.38
  5. Step 5: Solve for x
    x = 61,809,236.38/8,971.36
  6. Step 6: Final answer
    x = 6,889.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.