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Finding the Fourth Proportional to 11,837.88, 17,744.85 and 7,680.51

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Solution

The fourth proportional to 11,837.88, 17,744.85 and 7,680.51 is: 11,513.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.88 : 17,744.85 = 7,680.51 : x
  2. Step 2: Convert to fraction form
    11,837.88/17,744.85 = 7,680.51/x
  3. Step 3: Cross multiply
    11,837.88x = 17,744.85 × 7,680.51
  4. Step 4: Simplify right side
    11,837.88x = 136,289,497.87
  5. Step 5: Solve for x
    x = 136,289,497.87/11,837.88
  6. Step 6: Final answer
    x = 11,513.00

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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.