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Finding the Fourth Proportional to 11,238.46, 16,848.17 and 4,660.54

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Solution

The fourth proportional to 11,238.46, 16,848.17 and 4,660.54 is: 6,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.46 : 16,848.17 = 4,660.54 : x
  2. Step 2: Convert to fraction form
    11,238.46/16,848.17 = 4,660.54/x
  3. Step 3: Cross multiply
    11,238.46x = 16,848.17 × 4,660.54
  4. Step 4: Simplify right side
    11,238.46x = 78,521,570.21
  5. Step 5: Solve for x
    x = 78,521,570.21/11,238.46
  6. Step 6: Final answer
    x = 6,986.86

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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.