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Finding the Fourth Proportional to 7,982.64, 11,018.88 and 4,839.12

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Solution

The fourth proportional to 7,982.64, 11,018.88 and 4,839.12 is: 6,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.64 : 11,018.88 = 4,839.12 : x
  2. Step 2: Convert to fraction form
    7,982.64/11,018.88 = 4,839.12/x
  3. Step 3: Cross multiply
    7,982.64x = 11,018.88 × 4,839.12
  4. Step 4: Simplify right side
    7,982.64x = 53,321,682.59
  5. Step 5: Solve for x
    x = 53,321,682.59/7,982.64
  6. Step 6: Final answer
    x = 6,679.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.