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Finding the Fourth Proportional to 11,098, 16,596.92 and 8,466.32

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Solution

The fourth proportional to 11,098, 16,596.92 and 8,466.32 is: 12,661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098 : 16,596.92 = 8,466.32 : x
  2. Step 2: Convert to fraction form
    11,098/16,596.92 = 8,466.32/x
  3. Step 3: Cross multiply
    11,098x = 16,596.92 × 8,466.32
  4. Step 4: Simplify right side
    11,098x = 140,514,835.73
  5. Step 5: Solve for x
    x = 140,514,835.73/11,098
  6. Step 6: Final answer
    x = 12,661.28

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Why These Related Problems?

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