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Finding the Fourth Proportional to 11,164.70, 16,725.28 and 6,219.45

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Solution

The fourth proportional to 11,164.70, 16,725.28 and 6,219.45 is: 9,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.70 : 16,725.28 = 6,219.45 : x
  2. Step 2: Convert to fraction form
    11,164.70/16,725.28 = 6,219.45/x
  3. Step 3: Cross multiply
    11,164.70x = 16,725.28 × 6,219.45
  4. Step 4: Simplify right side
    11,164.70x = 104,022,024.94
  5. Step 5: Solve for x
    x = 104,022,024.94/11,164.70
  6. Step 6: Final answer
    x = 9,317.05

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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.