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Finding the Fourth Proportional to 11,820.16, 16,311.86 and 6,514.86

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Solution

The fourth proportional to 11,820.16, 16,311.86 and 6,514.86 is: 8,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.16 : 16,311.86 = 6,514.86 : x
  2. Step 2: Convert to fraction form
    11,820.16/16,311.86 = 6,514.86/x
  3. Step 3: Cross multiply
    11,820.16x = 16,311.86 × 6,514.86
  4. Step 4: Simplify right side
    11,820.16x = 106,269,484.24
  5. Step 5: Solve for x
    x = 106,269,484.24/11,820.16
  6. Step 6: Final answer
    x = 8,990.53

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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.