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Finding the Fourth Proportional to 11,660.70, 17,475.42 and 4,258.20

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Solution

The fourth proportional to 11,660.70, 17,475.42 and 4,258.20 is: 6,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.70 : 17,475.42 = 4,258.20 : x
  2. Step 2: Convert to fraction form
    11,660.70/17,475.42 = 4,258.20/x
  3. Step 3: Cross multiply
    11,660.70x = 17,475.42 × 4,258.20
  4. Step 4: Simplify right side
    11,660.70x = 74,413,833.44
  5. Step 5: Solve for x
    x = 74,413,833.44/11,660.70
  6. Step 6: Final answer
    x = 6,381.59

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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.