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Finding the Fourth Proportional to 11,814.03, 16,304.10 and 6,508.85

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Solution

The fourth proportional to 11,814.03, 16,304.10 and 6,508.85 is: 8,982.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.03 : 16,304.10 = 6,508.85 : x
  2. Step 2: Convert to fraction form
    11,814.03/16,304.10 = 6,508.85/x
  3. Step 3: Cross multiply
    11,814.03x = 16,304.10 × 6,508.85
  4. Step 4: Simplify right side
    11,814.03x = 106,120,859.76
  5. Step 5: Solve for x
    x = 106,120,859.76/11,814.03
  6. Step 6: Final answer
    x = 8,982.61

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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.