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Finding the Fourth Proportional to 8,054.97, 11,110.24 and 7,784.03

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Solution

The fourth proportional to 8,054.97, 11,110.24 and 7,784.03 is: 10,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054.97 : 11,110.24 = 7,784.03 : x
  2. Step 2: Convert to fraction form
    8,054.97/11,110.24 = 7,784.03/x
  3. Step 3: Cross multiply
    8,054.97x = 11,110.24 × 7,784.03
  4. Step 4: Simplify right side
    8,054.97x = 86,482,441.47
  5. Step 5: Solve for x
    x = 86,482,441.47/8,054.97
  6. Step 6: Final answer
    x = 10,736.53

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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.