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Finding the Fourth Proportional to 10,829.73, 14,945.06 and 5,861.73

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Solution

The fourth proportional to 10,829.73, 14,945.06 and 5,861.73 is: 8,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.73 : 14,945.06 = 5,861.73 : x
  2. Step 2: Convert to fraction form
    10,829.73/14,945.06 = 5,861.73/x
  3. Step 3: Cross multiply
    10,829.73x = 14,945.06 × 5,861.73
  4. Step 4: Simplify right side
    10,829.73x = 87,603,921.21
  5. Step 5: Solve for x
    x = 87,603,921.21/10,829.73
  6. Step 6: Final answer
    x = 8,089.21

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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.