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Finding the Fourth Proportional to 7,226.84, 9,971.88 and 4,082.60

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Solution

The fourth proportional to 7,226.84, 9,971.88 and 4,082.60 is: 5,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.84 : 9,971.88 = 4,082.60 : x
  2. Step 2: Convert to fraction form
    7,226.84/9,971.88 = 4,082.60/x
  3. Step 3: Cross multiply
    7,226.84x = 9,971.88 × 4,082.60
  4. Step 4: Simplify right side
    7,226.84x = 40,711,197.29
  5. Step 5: Solve for x
    x = 40,711,197.29/7,226.84
  6. Step 6: Final answer
    x = 5,633.33

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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.