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Finding the Fourth Proportional to 11,589.94, 15,991.44 and 7,820.10

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Solution

The fourth proportional to 11,589.94, 15,991.44 and 7,820.10 is: 10,789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.94 : 15,991.44 = 7,820.10 : x
  2. Step 2: Convert to fraction form
    11,589.94/15,991.44 = 7,820.10/x
  3. Step 3: Cross multiply
    11,589.94x = 15,991.44 × 7,820.10
  4. Step 4: Simplify right side
    11,589.94x = 125,054,659.94
  5. Step 5: Solve for x
    x = 125,054,659.94/11,589.94
  6. Step 6: Final answer
    x = 10,789.93

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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.