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Finding the Fourth Proportional to 10,619.66, 15,991.23 and 7,865.87

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Solution

The fourth proportional to 10,619.66, 15,991.23 and 7,865.87 is: 11,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,619.66 : 15,991.23 = 7,865.87 : x
  2. Step 2: Convert to fraction form
    10,619.66/15,991.23 = 7,865.87/x
  3. Step 3: Cross multiply
    10,619.66x = 15,991.23 × 7,865.87
  4. Step 4: Simplify right side
    10,619.66x = 125,784,936.32
  5. Step 5: Solve for x
    x = 125,784,936.32/10,619.66
  6. Step 6: Final answer
    x = 11,844.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.