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Finding the Fourth Proportional to 7,226.51, 9,971.78 and 4,082.69

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Solution

The fourth proportional to 7,226.51, 9,971.78 and 4,082.69 is: 5,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.51 : 9,971.78 = 4,082.69 : x
  2. Step 2: Convert to fraction form
    7,226.51/9,971.78 = 4,082.69/x
  3. Step 3: Cross multiply
    7,226.51x = 9,971.78 × 4,082.69
  4. Step 4: Simplify right side
    7,226.51x = 40,711,691.00
  5. Step 5: Solve for x
    x = 40,711,691.00/7,226.51
  6. Step 6: Final answer
    x = 5,633.66

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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.