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Finding the Fourth Proportional to 7,066.80, 9,751.74 and 4,082.15

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Solution

The fourth proportional to 7,066.80, 9,751.74 and 4,082.15 is: 5,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.80 : 9,751.74 = 4,082.15 : x
  2. Step 2: Convert to fraction form
    7,066.80/9,751.74 = 4,082.15/x
  3. Step 3: Cross multiply
    7,066.80x = 9,751.74 × 4,082.15
  4. Step 4: Simplify right side
    7,066.80x = 39,807,996.27
  5. Step 5: Solve for x
    x = 39,807,996.27/7,066.80
  6. Step 6: Final answer
    x = 5,633.10

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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.