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Finding the Fourth Proportional to 6,164.69, 8,507.27 and 3,512.10

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Solution

The fourth proportional to 6,164.69, 8,507.27 and 3,512.10 is: 4,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.69 : 8,507.27 = 3,512.10 : x
  2. Step 2: Convert to fraction form
    6,164.69/8,507.27 = 3,512.10/x
  3. Step 3: Cross multiply
    6,164.69x = 8,507.27 × 3,512.10
  4. Step 4: Simplify right side
    6,164.69x = 29,878,382.97
  5. Step 5: Solve for x
    x = 29,878,382.97/6,164.69
  6. Step 6: Final answer
    x = 4,846.70

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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.