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Finding the Fourth Proportional to 12,908.81, 17,809.89 and 7,871.19

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Solution

The fourth proportional to 12,908.81, 17,809.89 and 7,871.19 is: 10,859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908.81 : 17,809.89 = 7,871.19 : x
  2. Step 2: Convert to fraction form
    12,908.81/17,809.89 = 7,871.19/x
  3. Step 3: Cross multiply
    12,908.81x = 17,809.89 × 7,871.19
  4. Step 4: Simplify right side
    12,908.81x = 140,185,028.07
  5. Step 5: Solve for x
    x = 140,185,028.07/12,908.81
  6. Step 6: Final answer
    x = 10,859.64

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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.