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Finding the Fourth Proportional to 11,874.20, 17,810.46 and 4,082.84

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Solution

The fourth proportional to 11,874.20, 17,810.46 and 4,082.84 is: 6,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.20 : 17,810.46 = 4,082.84 : x
  2. Step 2: Convert to fraction form
    11,874.20/17,810.46 = 4,082.84/x
  3. Step 3: Cross multiply
    11,874.20x = 17,810.46 × 4,082.84
  4. Step 4: Simplify right side
    11,874.20x = 72,717,258.51
  5. Step 5: Solve for x
    x = 72,717,258.51/11,874.20
  6. Step 6: Final answer
    x = 6,123.97

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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.