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Finding the Fourth Proportional to 11,819.16, 16,309.54 and 6,514

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Solution

The fourth proportional to 11,819.16, 16,309.54 and 6,514 is: 8,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.16 : 16,309.54 = 6,514 : x
  2. Step 2: Convert to fraction form
    11,819.16/16,309.54 = 6,514/x
  3. Step 3: Cross multiply
    11,819.16x = 16,309.54 × 6,514
  4. Step 4: Simplify right side
    11,819.16x = 106,240,343.56
  5. Step 5: Solve for x
    x = 106,240,343.56/11,819.16
  6. Step 6: Final answer
    x = 8,988.82

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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.