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Finding the Fourth Proportional to 10,272.28, 14,174.94 and 5,797.12

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Solution

The fourth proportional to 10,272.28, 14,174.94 and 5,797.12 is: 7,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.28 : 14,174.94 = 5,797.12 : x
  2. Step 2: Convert to fraction form
    10,272.28/14,174.94 = 5,797.12/x
  3. Step 3: Cross multiply
    10,272.28x = 14,174.94 × 5,797.12
  4. Step 4: Simplify right side
    10,272.28x = 82,173,828.17
  5. Step 5: Solve for x
    x = 82,173,828.17/10,272.28
  6. Step 6: Final answer
    x = 7,999.57

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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.