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Finding the Fourth Proportional to 10,709.73, 14,780.21 and 5,993.72

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Solution

The fourth proportional to 10,709.73, 14,780.21 and 5,993.72 is: 8,271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.73 : 14,780.21 = 5,993.72 : x
  2. Step 2: Convert to fraction form
    10,709.73/14,780.21 = 5,993.72/x
  3. Step 3: Cross multiply
    10,709.73x = 14,780.21 × 5,993.72
  4. Step 4: Simplify right side
    10,709.73x = 88,588,440.28
  5. Step 5: Solve for x
    x = 88,588,440.28/10,709.73
  6. Step 6: Final answer
    x = 8,271.77

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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.