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Finding the Fourth Proportional to 12,905.70, 17,811.45 and 7,871.46

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Solution

The fourth proportional to 12,905.70, 17,811.45 and 7,871.46 is: 10,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.70 : 17,811.45 = 7,871.46 : x
  2. Step 2: Convert to fraction form
    12,905.70/17,811.45 = 7,871.46/x
  3. Step 3: Cross multiply
    12,905.70x = 17,811.45 × 7,871.46
  4. Step 4: Simplify right side
    12,905.70x = 140,202,116.22
  5. Step 5: Solve for x
    x = 140,202,116.22/12,905.70
  6. Step 6: Final answer
    x = 10,863.58

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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.