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Finding the Fourth Proportional to 10,709.32, 14,778.90 and 5,993.80

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Solution

The fourth proportional to 10,709.32, 14,778.90 and 5,993.80 is: 8,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.32 : 14,778.90 = 5,993.80 : x
  2. Step 2: Convert to fraction form
    10,709.32/14,778.90 = 5,993.80/x
  3. Step 3: Cross multiply
    10,709.32x = 14,778.90 × 5,993.80
  4. Step 4: Simplify right side
    10,709.32x = 88,581,770.82
  5. Step 5: Solve for x
    x = 88,581,770.82/10,709.32
  6. Step 6: Final answer
    x = 8,271.47

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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.