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Finding the Fourth Proportional to 6,165.81, 8,507.97 and 3,477.06

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Solution

The fourth proportional to 6,165.81, 8,507.97 and 3,477.06 is: 4,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.81 : 8,507.97 = 3,477.06 : x
  2. Step 2: Convert to fraction form
    6,165.81/8,507.97 = 3,477.06/x
  3. Step 3: Cross multiply
    6,165.81x = 8,507.97 × 3,477.06
  4. Step 4: Simplify right side
    6,165.81x = 29,582,722.17
  5. Step 5: Solve for x
    x = 29,582,722.17/6,165.81
  6. Step 6: Final answer
    x = 4,797.86

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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.