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Finding the Fourth Proportional to 10,650.97, 14,698.44 and 5,871.09

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Solution

The fourth proportional to 10,650.97, 14,698.44 and 5,871.09 is: 8,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.97 : 14,698.44 = 5,871.09 : x
  2. Step 2: Convert to fraction form
    10,650.97/14,698.44 = 5,871.09/x
  3. Step 3: Cross multiply
    10,650.97x = 14,698.44 × 5,871.09
  4. Step 4: Simplify right side
    10,650.97x = 86,295,864.10
  5. Step 5: Solve for x
    x = 86,295,864.10/10,650.97
  6. Step 6: Final answer
    x = 8,102.16

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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.