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Finding the Fourth Proportional to 11,421, 17,131.80 and 3,629.81

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Solution

The fourth proportional to 11,421, 17,131.80 and 3,629.81 is: 5,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421 : 17,131.80 = 3,629.81 : x
  2. Step 2: Convert to fraction form
    11,421/17,131.80 = 3,629.81/x
  3. Step 3: Cross multiply
    11,421x = 17,131.80 × 3,629.81
  4. Step 4: Simplify right side
    11,421x = 62,185,235.40
  5. Step 5: Solve for x
    x = 62,185,235.40/11,421
  6. Step 6: Final answer
    x = 5,444.82

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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.