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Finding the Fourth Proportional to 11,215, 16,811.10 and 4,644.76

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Solution

The fourth proportional to 11,215, 16,811.10 and 4,644.76 is: 6,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215 : 16,811.10 = 4,644.76 : x
  2. Step 2: Convert to fraction form
    11,215/16,811.10 = 4,644.76/x
  3. Step 3: Cross multiply
    11,215x = 16,811.10 × 4,644.76
  4. Step 4: Simplify right side
    11,215x = 78,083,524.84
  5. Step 5: Solve for x
    x = 78,083,524.84/11,215
  6. Step 6: Final answer
    x = 6,962.42

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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.