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Finding the Fourth Proportional to 10,434.52, 14,399.41 and 5,958.17

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Solution

The fourth proportional to 10,434.52, 14,399.41 and 5,958.17 is: 8,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.52 : 14,399.41 = 5,958.17 : x
  2. Step 2: Convert to fraction form
    10,434.52/14,399.41 = 5,958.17/x
  3. Step 3: Cross multiply
    10,434.52x = 14,399.41 × 5,958.17
  4. Step 4: Simplify right side
    10,434.52x = 85,794,132.68
  5. Step 5: Solve for x
    x = 85,794,132.68/10,434.52
  6. Step 6: Final answer
    x = 8,222.14

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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.