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Finding the Fourth Proportional to 6,320.80, 8,720.94 and 4,082.77

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Solution

The fourth proportional to 6,320.80, 8,720.94 and 4,082.77 is: 5,633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.80 : 8,720.94 = 4,082.77 : x
  2. Step 2: Convert to fraction form
    6,320.80/8,720.94 = 4,082.77/x
  3. Step 3: Cross multiply
    6,320.80x = 8,720.94 × 4,082.77
  4. Step 4: Simplify right side
    6,320.80x = 35,605,592.20
  5. Step 5: Solve for x
    x = 35,605,592.20/6,320.80
  6. Step 6: Final answer
    x = 5,633.08

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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.