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Finding the Fourth Proportional to 6,982.32, 10,462.68 and 4,062

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Solution

The fourth proportional to 6,982.32, 10,462.68 and 4,062 is: 6,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.32 : 10,462.68 = 4,062 : x
  2. Step 2: Convert to fraction form
    6,982.32/10,462.68 = 4,062/x
  3. Step 3: Cross multiply
    6,982.32x = 10,462.68 × 4,062
  4. Step 4: Simplify right side
    6,982.32x = 42,499,406.16
  5. Step 5: Solve for x
    x = 42,499,406.16/6,982.32
  6. Step 6: Final answer
    x = 6,086.72

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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.