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Finding the Fourth Proportional to 11,738.90, 17,608.76 and 4,345.22

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Solution

The fourth proportional to 11,738.90, 17,608.76 and 4,345.22 is: 6,517.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.90 : 17,608.76 = 4,345.22 : x
  2. Step 2: Convert to fraction form
    11,738.90/17,608.76 = 4,345.22/x
  3. Step 3: Cross multiply
    11,738.90x = 17,608.76 × 4,345.22
  4. Step 4: Simplify right side
    11,738.90x = 76,513,936.13
  5. Step 5: Solve for x
    x = 76,513,936.13/11,738.90
  6. Step 6: Final answer
    x = 6,517.98

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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.