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Finding the Fourth Proportional to 10,235.97, 14,125.49 and 5,759.37

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Solution

The fourth proportional to 10,235.97, 14,125.49 and 5,759.37 is: 7,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.97 : 14,125.49 = 5,759.37 : x
  2. Step 2: Convert to fraction form
    10,235.97/14,125.49 = 5,759.37/x
  3. Step 3: Cross multiply
    10,235.97x = 14,125.49 × 5,759.37
  4. Step 4: Simplify right side
    10,235.97x = 81,353,916.14
  5. Step 5: Solve for x
    x = 81,353,916.14/10,235.97
  6. Step 6: Final answer
    x = 7,947.85

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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.