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Finding the Fourth Proportional to 10,047.24, 13,864.28 and 5,797.34

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Solution

The fourth proportional to 10,047.24, 13,864.28 and 5,797.34 is: 7,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.24 : 13,864.28 = 5,797.34 : x
  2. Step 2: Convert to fraction form
    10,047.24/13,864.28 = 5,797.34/x
  3. Step 3: Cross multiply
    10,047.24x = 13,864.28 × 5,797.34
  4. Step 4: Simplify right side
    10,047.24x = 80,375,945.02
  5. Step 5: Solve for x
    x = 80,375,945.02/10,047.24
  6. Step 6: Final answer
    x = 7,999.80

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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.