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Finding the Fourth Proportional to 8,213.64, 12,315.54 and 4,514.94

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Solution

The fourth proportional to 8,213.64, 12,315.54 and 4,514.94 is: 6,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.64 : 12,315.54 = 4,514.94 : x
  2. Step 2: Convert to fraction form
    8,213.64/12,315.54 = 4,514.94/x
  3. Step 3: Cross multiply
    8,213.64x = 12,315.54 × 4,514.94
  4. Step 4: Simplify right side
    8,213.64x = 55,603,924.17
  5. Step 5: Solve for x
    x = 55,603,924.17/8,213.64
  6. Step 6: Final answer
    x = 6,769.71

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