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Finding the Fourth Proportional to 7,066.57, 9,752.21 and 4,082.80

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Solution

The fourth proportional to 7,066.57, 9,752.21 and 4,082.80 is: 5,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.57 : 9,752.21 = 4,082.80 : x
  2. Step 2: Convert to fraction form
    7,066.57/9,752.21 = 4,082.80/x
  3. Step 3: Cross multiply
    7,066.57x = 9,752.21 × 4,082.80
  4. Step 4: Simplify right side
    7,066.57x = 39,816,322.99
  5. Step 5: Solve for x
    x = 39,816,322.99/7,066.57
  6. Step 6: Final answer
    x = 5,634.46

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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.