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Finding the Fourth Proportional to 10,245.69, 14,138.91 and 5,769.49

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Solution

The fourth proportional to 10,245.69, 14,138.91 and 5,769.49 is: 7,961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.69 : 14,138.91 = 5,769.49 : x
  2. Step 2: Convert to fraction form
    10,245.69/14,138.91 = 5,769.49/x
  3. Step 3: Cross multiply
    10,245.69x = 14,138.91 × 5,769.49
  4. Step 4: Simplify right side
    10,245.69x = 81,574,278.22
  5. Step 5: Solve for x
    x = 81,574,278.22/10,245.69
  6. Step 6: Final answer
    x = 7,961.82

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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.