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Finding the Fourth Proportional to 11,937.51, 17,906.40 and 3,617.46

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Solution

The fourth proportional to 11,937.51, 17,906.40 and 3,617.46 is: 5,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.51 : 17,906.40 = 3,617.46 : x
  2. Step 2: Convert to fraction form
    11,937.51/17,906.40 = 3,617.46/x
  3. Step 3: Cross multiply
    11,937.51x = 17,906.40 × 3,617.46
  4. Step 4: Simplify right side
    11,937.51x = 64,775,685.74
  5. Step 5: Solve for x
    x = 64,775,685.74/11,937.51
  6. Step 6: Final answer
    x = 5,426.23

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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.