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Finding the Fourth Proportional to 10,245.35, 14,138.43 and 5,769.09

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Solution

The fourth proportional to 10,245.35, 14,138.43 and 5,769.09 is: 7,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.35 : 14,138.43 = 5,769.09 : x
  2. Step 2: Convert to fraction form
    10,245.35/14,138.43 = 5,769.09/x
  3. Step 3: Cross multiply
    10,245.35x = 14,138.43 × 5,769.09
  4. Step 4: Simplify right side
    10,245.35x = 81,565,875.13
  5. Step 5: Solve for x
    x = 81,565,875.13/10,245.35
  6. Step 6: Final answer
    x = 7,961.26

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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.