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Finding the Fourth Proportional to 7,226.34, 9,972.48 and 4,082.58

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Solution

The fourth proportional to 7,226.34, 9,972.48 and 4,082.58 is: 5,634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.34 : 9,972.48 = 4,082.58 : x
  2. Step 2: Convert to fraction form
    7,226.34/9,972.48 = 4,082.58/x
  3. Step 3: Cross multiply
    7,226.34x = 9,972.48 × 4,082.58
  4. Step 4: Simplify right side
    7,226.34x = 40,713,447.40
  5. Step 5: Solve for x
    x = 40,713,447.40/7,226.34
  6. Step 6: Final answer
    x = 5,634.03

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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.