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Finding the Fourth Proportional to 10,660.37, 14,709.07 and 5,944.55

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Solution

The fourth proportional to 10,660.37, 14,709.07 and 5,944.55 is: 8,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.37 : 14,709.07 = 5,944.55 : x
  2. Step 2: Convert to fraction form
    10,660.37/14,709.07 = 5,944.55/x
  3. Step 3: Cross multiply
    10,660.37x = 14,709.07 × 5,944.55
  4. Step 4: Simplify right side
    10,660.37x = 87,438,802.07
  5. Step 5: Solve for x
    x = 87,438,802.07/10,660.37
  6. Step 6: Final answer
    x = 8,202.23

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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.