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Finding the Fourth Proportional to 6,874.80, 10,312.20 and 3,412.32

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Solution

The fourth proportional to 6,874.80, 10,312.20 and 3,412.32 is: 5,118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.80 : 10,312.20 = 3,412.32 : x
  2. Step 2: Convert to fraction form
    6,874.80/10,312.20 = 3,412.32/x
  3. Step 3: Cross multiply
    6,874.80x = 10,312.20 × 3,412.32
  4. Step 4: Simplify right side
    6,874.80x = 35,188,526.30
  5. Step 5: Solve for x
    x = 35,188,526.30/6,874.80
  6. Step 6: Final answer
    x = 5,118.48

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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.