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Finding the Fourth Proportional to 8,164.29, 11,273.08 and 6,272.87

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Solution

The fourth proportional to 8,164.29, 11,273.08 and 6,272.87 is: 8,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.29 : 11,273.08 = 6,272.87 : x
  2. Step 2: Convert to fraction form
    8,164.29/11,273.08 = 6,272.87/x
  3. Step 3: Cross multiply
    8,164.29x = 11,273.08 × 6,272.87
  4. Step 4: Simplify right side
    8,164.29x = 70,714,577.84
  5. Step 5: Solve for x
    x = 70,714,577.84/8,164.29
  6. Step 6: Final answer
    x = 8,661.45

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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.