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Finding the Fourth Proportional to 6,714.40, 10,071.60 and 2,331.90

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Solution

The fourth proportional to 6,714.40, 10,071.60 and 2,331.90 is: 3,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.40 : 10,071.60 = 2,331.90 : x
  2. Step 2: Convert to fraction form
    6,714.40/10,071.60 = 2,331.90/x
  3. Step 3: Cross multiply
    6,714.40x = 10,071.60 × 2,331.90
  4. Step 4: Simplify right side
    6,714.40x = 23,485,927.20
  5. Step 5: Solve for x
    x = 23,485,927.20/6,714.40
  6. Step 6: Final answer
    x = 3,497.84

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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.