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Finding the Fourth Proportional to 10,660.20, 14,710.62 and 5,944.44

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Solution

The fourth proportional to 10,660.20, 14,710.62 and 5,944.44 is: 8,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.20 : 14,710.62 = 5,944.44 : x
  2. Step 2: Convert to fraction form
    10,660.20/14,710.62 = 5,944.44/x
  3. Step 3: Cross multiply
    10,660.20x = 14,710.62 × 5,944.44
  4. Step 4: Simplify right side
    10,660.20x = 87,446,397.95
  5. Step 5: Solve for x
    x = 87,446,397.95/10,660.20
  6. Step 6: Final answer
    x = 8,203.07

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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.