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Finding the Fourth Proportional to 11,305.76, 16,954.38 and 4,732.40

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Solution

The fourth proportional to 11,305.76, 16,954.38 and 4,732.40 is: 7,096.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.76 : 16,954.38 = 4,732.40 : x
  2. Step 2: Convert to fraction form
    11,305.76/16,954.38 = 4,732.40/x
  3. Step 3: Cross multiply
    11,305.76x = 16,954.38 × 4,732.40
  4. Step 4: Simplify right side
    11,305.76x = 80,234,907.91
  5. Step 5: Solve for x
    x = 80,234,907.91/11,305.76
  6. Step 6: Final answer
    x = 7,096.82

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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.