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Finding the Fourth Proportional to 8,649.64, 11,936.04 and 4,873

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Solution

The fourth proportional to 8,649.64, 11,936.04 and 4,873 is: 6,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.64 : 11,936.04 = 4,873 : x
  2. Step 2: Convert to fraction form
    8,649.64/11,936.04 = 4,873/x
  3. Step 3: Cross multiply
    8,649.64x = 11,936.04 × 4,873
  4. Step 4: Simplify right side
    8,649.64x = 58,164,322.92
  5. Step 5: Solve for x
    x = 58,164,322.92/8,649.64
  6. Step 6: Final answer
    x = 6,724.48

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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.