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Finding the Fourth Proportional to 10,236.65, 14,126.41 and 5,760.41

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Solution

The fourth proportional to 10,236.65, 14,126.41 and 5,760.41 is: 7,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,236.65 : 14,126.41 = 5,760.41 : x
  2. Step 2: Convert to fraction form
    10,236.65/14,126.41 = 5,760.41/x
  3. Step 3: Cross multiply
    10,236.65x = 14,126.41 × 5,760.41
  4. Step 4: Simplify right side
    10,236.65x = 81,373,828.40
  5. Step 5: Solve for x
    x = 81,373,828.40/10,236.65
  6. Step 6: Final answer
    x = 7,949.26

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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.