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Finding the Fourth Proportional to 6,560.36, 9,832.02 and 2,660.20

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Solution

The fourth proportional to 6,560.36, 9,832.02 and 2,660.20 is: 3,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.36 : 9,832.02 = 2,660.20 : x
  2. Step 2: Convert to fraction form
    6,560.36/9,832.02 = 2,660.20/x
  3. Step 3: Cross multiply
    6,560.36x = 9,832.02 × 2,660.20
  4. Step 4: Simplify right side
    6,560.36x = 26,155,139.60
  5. Step 5: Solve for x
    x = 26,155,139.60/6,560.36
  6. Step 6: Final answer
    x = 3,986.85

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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.