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Finding the Fourth Proportional to 10,431.54, 14,391.93 and 5,952.06

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Solution

The fourth proportional to 10,431.54, 14,391.93 and 5,952.06 is: 8,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.54 : 14,391.93 = 5,952.06 : x
  2. Step 2: Convert to fraction form
    10,431.54/14,391.93 = 5,952.06/x
  3. Step 3: Cross multiply
    10,431.54x = 14,391.93 × 5,952.06
  4. Step 4: Simplify right side
    10,431.54x = 85,661,630.88
  5. Step 5: Solve for x
    x = 85,661,630.88/10,431.54
  6. Step 6: Final answer
    x = 8,211.79

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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.