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Finding the Fourth Proportional to 10,235.57, 14,125.91 and 5,759.06

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Solution

The fourth proportional to 10,235.57, 14,125.91 and 5,759.06 is: 7,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.57 : 14,125.91 = 5,759.06 : x
  2. Step 2: Convert to fraction form
    10,235.57/14,125.91 = 5,759.06/x
  3. Step 3: Cross multiply
    10,235.57x = 14,125.91 × 5,759.06
  4. Step 4: Simplify right side
    10,235.57x = 81,351,963.24
  5. Step 5: Solve for x
    x = 81,351,963.24/10,235.57
  6. Step 6: Final answer
    x = 7,947.97

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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.