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Finding the Fourth Proportional to 11,438.27, 17,159.93 and 3,647.07

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Solution

The fourth proportional to 11,438.27, 17,159.93 and 3,647.07 is: 5,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.27 : 17,159.93 = 3,647.07 : x
  2. Step 2: Convert to fraction form
    11,438.27/17,159.93 = 3,647.07/x
  3. Step 3: Cross multiply
    11,438.27x = 17,159.93 × 3,647.07
  4. Step 4: Simplify right side
    11,438.27x = 62,583,447.67
  5. Step 5: Solve for x
    x = 62,583,447.67/11,438.27
  6. Step 6: Final answer
    x = 5,471.41

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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.