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Finding the Fourth Proportional to 8,164.25, 11,266.68 and 4,627.79

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Solution

The fourth proportional to 8,164.25, 11,266.68 and 4,627.79 is: 6,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.25 : 11,266.68 = 4,627.79 : x
  2. Step 2: Convert to fraction form
    8,164.25/11,266.68 = 4,627.79/x
  3. Step 3: Cross multiply
    8,164.25x = 11,266.68 × 4,627.79
  4. Step 4: Simplify right side
    8,164.25x = 52,139,829.04
  5. Step 5: Solve for x
    x = 52,139,829.04/8,164.25
  6. Step 6: Final answer
    x = 6,386.36

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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.