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Finding the Fourth Proportional to 11,819.32, 16,311 and 6,514.48

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Solution

The fourth proportional to 11,819.32, 16,311 and 6,514.48 is: 8,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.32 : 16,311 = 6,514.48 : x
  2. Step 2: Convert to fraction form
    11,819.32/16,311 = 6,514.48/x
  3. Step 3: Cross multiply
    11,819.32x = 16,311 × 6,514.48
  4. Step 4: Simplify right side
    11,819.32x = 106,257,683.28
  5. Step 5: Solve for x
    x = 106,257,683.28/11,819.32
  6. Step 6: Final answer
    x = 8,990.17

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