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Finding the Fourth Proportional to 7,082.64, 10,623.96 and 3,182.49

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Solution

The fourth proportional to 7,082.64, 10,623.96 and 3,182.49 is: 4,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.64 : 10,623.96 = 3,182.49 : x
  2. Step 2: Convert to fraction form
    7,082.64/10,623.96 = 3,182.49/x
  3. Step 3: Cross multiply
    7,082.64x = 10,623.96 × 3,182.49
  4. Step 4: Simplify right side
    7,082.64x = 33,810,646.46
  5. Step 5: Solve for x
    x = 33,810,646.46/7,082.64
  6. Step 6: Final answer
    x = 4,773.74

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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.