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Finding the Fourth Proportional to 10,143.50, 13,999.43 and 5,667.50

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Solution

The fourth proportional to 10,143.50, 13,999.43 and 5,667.50 is: 7,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.50 : 13,999.43 = 5,667.50 : x
  2. Step 2: Convert to fraction form
    10,143.50/13,999.43 = 5,667.50/x
  3. Step 3: Cross multiply
    10,143.50x = 13,999.43 × 5,667.50
  4. Step 4: Simplify right side
    10,143.50x = 79,341,818.69
  5. Step 5: Solve for x
    x = 79,341,818.69/10,143.50
  6. Step 6: Final answer
    x = 7,821.94

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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.