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Finding the Fourth Proportional to 10,709.20, 14,777.13 and 5,993.20

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Solution

The fourth proportional to 10,709.20, 14,777.13 and 5,993.20 is: 8,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.20 : 14,777.13 = 5,993.20 : x
  2. Step 2: Convert to fraction form
    10,709.20/14,777.13 = 5,993.20/x
  3. Step 3: Cross multiply
    10,709.20x = 14,777.13 × 5,993.20
  4. Step 4: Simplify right side
    10,709.20x = 88,562,295.52
  5. Step 5: Solve for x
    x = 88,562,295.52/10,709.20
  6. Step 6: Final answer
    x = 8,269.74

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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.