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Finding the Fourth Proportional to 10,660.41, 14,710.68 and 5,944.32

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Solution

The fourth proportional to 10,660.41, 14,710.68 and 5,944.32 is: 8,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.41 : 14,710.68 = 5,944.32 : x
  2. Step 2: Convert to fraction form
    10,660.41/14,710.68 = 5,944.32/x
  3. Step 3: Cross multiply
    10,660.41x = 14,710.68 × 5,944.32
  4. Step 4: Simplify right side
    10,660.41x = 87,444,989.34
  5. Step 5: Solve for x
    x = 87,444,989.34/10,660.41
  6. Step 6: Final answer
    x = 8,202.78

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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.