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Finding the Fourth Proportional to 10,021.70, 13,825.53 and 6,040.46

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Solution

The fourth proportional to 10,021.70, 13,825.53 and 6,040.46 is: 8,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.70 : 13,825.53 = 6,040.46 : x
  2. Step 2: Convert to fraction form
    10,021.70/13,825.53 = 6,040.46/x
  3. Step 3: Cross multiply
    10,021.70x = 13,825.53 × 6,040.46
  4. Step 4: Simplify right side
    10,021.70x = 83,512,560.94
  5. Step 5: Solve for x
    x = 83,512,560.94/10,021.70
  6. Step 6: Final answer
    x = 8,333.17

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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.