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Finding the Fourth Proportional to 11,830.89, 16,326.03 and 7,859.25

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Solution

The fourth proportional to 11,830.89, 16,326.03 and 7,859.25 is: 10,845.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.89 : 16,326.03 = 7,859.25 : x
  2. Step 2: Convert to fraction form
    11,830.89/16,326.03 = 7,859.25/x
  3. Step 3: Cross multiply
    11,830.89x = 16,326.03 × 7,859.25
  4. Step 4: Simplify right side
    11,830.89x = 128,310,351.28
  5. Step 5: Solve for x
    x = 128,310,351.28/11,830.89
  6. Step 6: Final answer
    x = 10,845.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.