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Finding the Fourth Proportional to 11,154.74, 16,740.19 and 5,311.30

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Solution

The fourth proportional to 11,154.74, 16,740.19 and 5,311.30 is: 7,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.74 : 16,740.19 = 5,311.30 : x
  2. Step 2: Convert to fraction form
    11,154.74/16,740.19 = 5,311.30/x
  3. Step 3: Cross multiply
    11,154.74x = 16,740.19 × 5,311.30
  4. Step 4: Simplify right side
    11,154.74x = 88,912,171.15
  5. Step 5: Solve for x
    x = 88,912,171.15/11,154.74
  6. Step 6: Final answer
    x = 7,970.80

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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.