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Finding the Fourth Proportional to 6,735.81, 10,108.04 and 3,271.17

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Solution

The fourth proportional to 6,735.81, 10,108.04 and 3,271.17 is: 4,908.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.81 : 10,108.04 = 3,271.17 : x
  2. Step 2: Convert to fraction form
    6,735.81/10,108.04 = 3,271.17/x
  3. Step 3: Cross multiply
    6,735.81x = 10,108.04 × 3,271.17
  4. Step 4: Simplify right side
    6,735.81x = 33,065,117.21
  5. Step 5: Solve for x
    x = 33,065,117.21/6,735.81
  6. Step 6: Final answer
    x = 4,908.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.