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Finding the Fourth Proportional to 6,560.84, 9,830.28 and 5,183.12

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Solution

The fourth proportional to 6,560.84, 9,830.28 and 5,183.12 is: 7,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.84 : 9,830.28 = 5,183.12 : x
  2. Step 2: Convert to fraction form
    6,560.84/9,830.28 = 5,183.12/x
  3. Step 3: Cross multiply
    6,560.84x = 9,830.28 × 5,183.12
  4. Step 4: Simplify right side
    6,560.84x = 50,951,520.87
  5. Step 5: Solve for x
    x = 50,951,520.87/6,560.84
  6. Step 6: Final answer
    x = 7,766.01

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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.