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Finding the Fourth Proportional to 10,289.69, 14,199.79 and 5,573.97

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Solution

The fourth proportional to 10,289.69, 14,199.79 and 5,573.97 is: 7,692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.69 : 14,199.79 = 5,573.97 : x
  2. Step 2: Convert to fraction form
    10,289.69/14,199.79 = 5,573.97/x
  3. Step 3: Cross multiply
    10,289.69x = 14,199.79 × 5,573.97
  4. Step 4: Simplify right side
    10,289.69x = 79,149,203.47
  5. Step 5: Solve for x
    x = 79,149,203.47/10,289.69
  6. Step 6: Final answer
    x = 7,692.09

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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.