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Finding the Fourth Proportional to 6,520.12, 8,997.28 and 3,686.64

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Solution

The fourth proportional to 6,520.12, 8,997.28 and 3,686.64 is: 5,087.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.12 : 8,997.28 = 3,686.64 : x
  2. Step 2: Convert to fraction form
    6,520.12/8,997.28 = 3,686.64/x
  3. Step 3: Cross multiply
    6,520.12x = 8,997.28 × 3,686.64
  4. Step 4: Simplify right side
    6,520.12x = 33,169,732.34
  5. Step 5: Solve for x
    x = 33,169,732.34/6,520.12
  6. Step 6: Final answer
    x = 5,087.29

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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.