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Finding the Fourth Proportional to 8,263.56, 12,324.66 and 7,971.96

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Solution

The fourth proportional to 8,263.56, 12,324.66 and 7,971.96 is: 11,889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.56 : 12,324.66 = 7,971.96 : x
  2. Step 2: Convert to fraction form
    8,263.56/12,324.66 = 7,971.96/x
  3. Step 3: Cross multiply
    8,263.56x = 12,324.66 × 7,971.96
  4. Step 4: Simplify right side
    8,263.56x = 98,251,696.53
  5. Step 5: Solve for x
    x = 98,251,696.53/8,263.56
  6. Step 6: Final answer
    x = 11,889.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.