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Finding the Fourth Proportional to 6,714.45, 10,071.81 and 3,204.81

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Solution

The fourth proportional to 6,714.45, 10,071.81 and 3,204.81 is: 4,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.45 : 10,071.81 = 3,204.81 : x
  2. Step 2: Convert to fraction form
    6,714.45/10,071.81 = 3,204.81/x
  3. Step 3: Cross multiply
    6,714.45x = 10,071.81 × 3,204.81
  4. Step 4: Simplify right side
    6,714.45x = 32,278,237.41
  5. Step 5: Solve for x
    x = 32,278,237.41/6,714.45
  6. Step 6: Final answer
    x = 4,807.28

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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.