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Finding the Fourth Proportional to 6,832.49, 10,267.25 and 3,714.80

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Solution

The fourth proportional to 6,832.49, 10,267.25 and 3,714.80 is: 5,582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.49 : 10,267.25 = 3,714.80 : x
  2. Step 2: Convert to fraction form
    6,832.49/10,267.25 = 3,714.80/x
  3. Step 3: Cross multiply
    6,832.49x = 10,267.25 × 3,714.80
  4. Step 4: Simplify right side
    6,832.49x = 38,140,710.39
  5. Step 5: Solve for x
    x = 38,140,710.39/6,832.49
  6. Step 6: Final answer
    x = 5,582.26

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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.