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Finding the Fourth Proportional to 10,138.56, 13,991.28 and 5,946.84

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Solution

The fourth proportional to 10,138.56, 13,991.28 and 5,946.84 is: 8,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.56 : 13,991.28 = 5,946.84 : x
  2. Step 2: Convert to fraction form
    10,138.56/13,991.28 = 5,946.84/x
  3. Step 3: Cross multiply
    10,138.56x = 13,991.28 × 5,946.84
  4. Step 4: Simplify right side
    10,138.56x = 83,203,903.56
  5. Step 5: Solve for x
    x = 83,203,903.56/10,138.56
  6. Step 6: Final answer
    x = 8,206.68

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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.