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Finding the Fourth Proportional to 7,600.08, 11,400.84 and 2,982

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Solution

The fourth proportional to 7,600.08, 11,400.84 and 2,982 is: 4,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.08 : 11,400.84 = 2,982 : x
  2. Step 2: Convert to fraction form
    7,600.08/11,400.84 = 2,982/x
  3. Step 3: Cross multiply
    7,600.08x = 11,400.84 × 2,982
  4. Step 4: Simplify right side
    7,600.08x = 33,997,304.88
  5. Step 5: Solve for x
    x = 33,997,304.88/7,600.08
  6. Step 6: Final answer
    x = 4,473.28

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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.