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Finding the Fourth Proportional to 7,082.88, 10,624.34 and 3,182.73

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Solution

The fourth proportional to 7,082.88, 10,624.34 and 3,182.73 is: 4,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.88 : 10,624.34 = 3,182.73 : x
  2. Step 2: Convert to fraction form
    7,082.88/10,624.34 = 3,182.73/x
  3. Step 3: Cross multiply
    7,082.88x = 10,624.34 × 3,182.73
  4. Step 4: Simplify right side
    7,082.88x = 33,814,389.73
  5. Step 5: Solve for x
    x = 33,814,389.73/7,082.88
  6. Step 6: Final answer
    x = 4,774.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.