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Finding the Fourth Proportional to 11,448.90, 17,172.90 and 3,657.42

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Solution

The fourth proportional to 11,448.90, 17,172.90 and 3,657.42 is: 5,485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.90 : 17,172.90 = 3,657.42 : x
  2. Step 2: Convert to fraction form
    11,448.90/17,172.90 = 3,657.42/x
  3. Step 3: Cross multiply
    11,448.90x = 17,172.90 × 3,657.42
  4. Step 4: Simplify right side
    11,448.90x = 62,808,507.92
  5. Step 5: Solve for x
    x = 62,808,507.92/11,448.90
  6. Step 6: Final answer
    x = 5,485.99

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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.