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Finding the Fourth Proportional to 11,051.44, 16,563.12 and 5,200

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Solution

The fourth proportional to 11,051.44, 16,563.12 and 5,200 is: 7,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,051.44 : 16,563.12 = 5,200 : x
  2. Step 2: Convert to fraction form
    11,051.44/16,563.12 = 5,200/x
  3. Step 3: Cross multiply
    11,051.44x = 16,563.12 × 5,200
  4. Step 4: Simplify right side
    11,051.44x = 86,128,224
  5. Step 5: Solve for x
    x = 86,128,224/11,051.44
  6. Step 6: Final answer
    x = 7,793.39

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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.