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Finding the Fourth Proportional to 11,602.96, 17,400.72 and 5,027.44

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Solution

The fourth proportional to 11,602.96, 17,400.72 and 5,027.44 is: 7,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.96 : 17,400.72 = 5,027.44 : x
  2. Step 2: Convert to fraction form
    11,602.96/17,400.72 = 5,027.44/x
  3. Step 3: Cross multiply
    11,602.96x = 17,400.72 × 5,027.44
  4. Step 4: Simplify right side
    11,602.96x = 87,481,075.76
  5. Step 5: Solve for x
    x = 87,481,075.76/11,602.96
  6. Step 6: Final answer
    x = 7,539.55

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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.