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Finding the Fourth Proportional to 11,634.44, 17,453.16 and 4,237.76

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Solution

The fourth proportional to 11,634.44, 17,453.16 and 4,237.76 is: 6,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.44 : 17,453.16 = 4,237.76 : x
  2. Step 2: Convert to fraction form
    11,634.44/17,453.16 = 4,237.76/x
  3. Step 3: Cross multiply
    11,634.44x = 17,453.16 × 4,237.76
  4. Step 4: Simplify right side
    11,634.44x = 73,962,303.32
  5. Step 5: Solve for x
    x = 73,962,303.32/11,634.44
  6. Step 6: Final answer
    x = 6,357.19

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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.