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Finding the Fourth Proportional to 8,218.64, 11,343.46 and 4,817.88

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Solution

The fourth proportional to 8,218.64, 11,343.46 and 4,817.88 is: 6,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.64 : 11,343.46 = 4,817.88 : x
  2. Step 2: Convert to fraction form
    8,218.64/11,343.46 = 4,817.88/x
  3. Step 3: Cross multiply
    8,218.64x = 11,343.46 × 4,817.88
  4. Step 4: Simplify right side
    8,218.64x = 54,651,429.06
  5. Step 5: Solve for x
    x = 54,651,429.06/8,218.64
  6. Step 6: Final answer
    x = 6,649.69

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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.