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Finding the Fourth Proportional to 6,871.70, 10,302.96 and 3,168.92

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Solution

The fourth proportional to 6,871.70, 10,302.96 and 3,168.92 is: 4,751.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.70 : 10,302.96 = 3,168.92 : x
  2. Step 2: Convert to fraction form
    6,871.70/10,302.96 = 3,168.92/x
  3. Step 3: Cross multiply
    6,871.70x = 10,302.96 × 3,168.92
  4. Step 4: Simplify right side
    6,871.70x = 32,649,256.00
  5. Step 5: Solve for x
    x = 32,649,256.00/6,871.70
  6. Step 6: Final answer
    x = 4,751.26

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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.