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Finding the Fourth Proportional to 6,852.92, 10,279.54 and 3,158.24

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Solution

The fourth proportional to 6,852.92, 10,279.54 and 3,158.24 is: 4,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.92 : 10,279.54 = 3,158.24 : x
  2. Step 2: Convert to fraction form
    6,852.92/10,279.54 = 3,158.24/x
  3. Step 3: Cross multiply
    6,852.92x = 10,279.54 × 3,158.24
  4. Step 4: Simplify right side
    6,852.92x = 32,465,254.41
  5. Step 5: Solve for x
    x = 32,465,254.41/6,852.92
  6. Step 6: Final answer
    x = 4,737.43

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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.