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Finding the Fourth Proportional to 10,144.40, 13,999.23 and 5,667.89

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Solution

The fourth proportional to 10,144.40, 13,999.23 and 5,667.89 is: 7,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.40 : 13,999.23 = 5,667.89 : x
  2. Step 2: Convert to fraction form
    10,144.40/13,999.23 = 5,667.89/x
  3. Step 3: Cross multiply
    10,144.40x = 13,999.23 × 5,667.89
  4. Step 4: Simplify right side
    10,144.40x = 79,346,025.73
  5. Step 5: Solve for x
    x = 79,346,025.73/10,144.40
  6. Step 6: Final answer
    x = 7,821.66

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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.