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Finding the Fourth Proportional to 10,434.82, 14,399.89 and 5,719.11

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Solution

The fourth proportional to 10,434.82, 14,399.89 and 5,719.11 is: 7,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.82 : 14,399.89 = 5,719.11 : x
  2. Step 2: Convert to fraction form
    10,434.82/14,399.89 = 5,719.11/x
  3. Step 3: Cross multiply
    10,434.82x = 14,399.89 × 5,719.11
  4. Step 4: Simplify right side
    10,434.82x = 82,354,554.90
  5. Step 5: Solve for x
    x = 82,354,554.90/10,434.82
  6. Step 6: Final answer
    x = 7,892.28

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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.