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Finding the Fourth Proportional to 10,171, 14,037.06 and 5,982.76

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Solution

The fourth proportional to 10,171, 14,037.06 and 5,982.76 is: 8,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171 : 14,037.06 = 5,982.76 : x
  2. Step 2: Convert to fraction form
    10,171/14,037.06 = 5,982.76/x
  3. Step 3: Cross multiply
    10,171x = 14,037.06 × 5,982.76
  4. Step 4: Simplify right side
    10,171x = 83,980,361.09
  5. Step 5: Solve for x
    x = 83,980,361.09/10,171
  6. Step 6: Final answer
    x = 8,256.84

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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.