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Finding the Fourth Proportional to 6,164.06, 8,507.27 and 3,511.71

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Solution

The fourth proportional to 6,164.06, 8,507.27 and 3,511.71 is: 4,846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.06 : 8,507.27 = 3,511.71 : x
  2. Step 2: Convert to fraction form
    6,164.06/8,507.27 = 3,511.71/x
  3. Step 3: Cross multiply
    6,164.06x = 8,507.27 × 3,511.71
  4. Step 4: Simplify right side
    6,164.06x = 29,875,073.91
  5. Step 5: Solve for x
    x = 29,875,073.91/6,164.06
  6. Step 6: Final answer
    x = 4,846.66

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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.