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Finding the Fourth Proportional to 11,944.56, 16,483.72 and 7,169.20

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Solution

The fourth proportional to 11,944.56, 16,483.72 and 7,169.20 is: 9,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.56 : 16,483.72 = 7,169.20 : x
  2. Step 2: Convert to fraction form
    11,944.56/16,483.72 = 7,169.20/x
  3. Step 3: Cross multiply
    11,944.56x = 16,483.72 × 7,169.20
  4. Step 4: Simplify right side
    11,944.56x = 118,175,085.42
  5. Step 5: Solve for x
    x = 118,175,085.42/11,944.56
  6. Step 6: Final answer
    x = 9,893.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.