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Finding the Fourth Proportional to 12,246.57, 16,876.57 and 8,260.76

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Solution

The fourth proportional to 12,246.57, 16,876.57 and 8,260.76 is: 11,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,246.57 : 16,876.57 = 8,260.76 : x
  2. Step 2: Convert to fraction form
    12,246.57/16,876.57 = 8,260.76/x
  3. Step 3: Cross multiply
    12,246.57x = 16,876.57 × 8,260.76
  4. Step 4: Simplify right side
    12,246.57x = 139,413,294.39
  5. Step 5: Solve for x
    x = 139,413,294.39/12,246.57
  6. Step 6: Final answer
    x = 11,383.86

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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.