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Finding the Fourth Proportional to 8,164.26, 11,266.02 and 4,627.80

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Solution

The fourth proportional to 8,164.26, 11,266.02 and 4,627.80 is: 6,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.26 : 11,266.02 = 4,627.80 : x
  2. Step 2: Convert to fraction form
    8,164.26/11,266.02 = 4,627.80/x
  3. Step 3: Cross multiply
    8,164.26x = 11,266.02 × 4,627.80
  4. Step 4: Simplify right side
    8,164.26x = 52,136,887.36
  5. Step 5: Solve for x
    x = 52,136,887.36/8,164.26
  6. Step 6: Final answer
    x = 6,385.99

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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.