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Finding the Fourth Proportional to 7,322.46, 10,982 and 2,057.88

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Solution

The fourth proportional to 7,322.46, 10,982 and 2,057.88 is: 3,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.46 : 10,982 = 2,057.88 : x
  2. Step 2: Convert to fraction form
    7,322.46/10,982 = 2,057.88/x
  3. Step 3: Cross multiply
    7,322.46x = 10,982 × 2,057.88
  4. Step 4: Simplify right side
    7,322.46x = 22,599,638.16
  5. Step 5: Solve for x
    x = 22,599,638.16/7,322.46
  6. Step 6: Final answer
    x = 3,086.35

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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.