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Finding the Fourth Proportional to 10,014.49, 13,821.02 and 5,765.71

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Solution

The fourth proportional to 10,014.49, 13,821.02 and 5,765.71 is: 7,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.49 : 13,821.02 = 5,765.71 : x
  2. Step 2: Convert to fraction form
    10,014.49/13,821.02 = 5,765.71/x
  3. Step 3: Cross multiply
    10,014.49x = 13,821.02 × 5,765.71
  4. Step 4: Simplify right side
    10,014.49x = 79,687,993.22
  5. Step 5: Solve for x
    x = 79,687,993.22/10,014.49
  6. Step 6: Final answer
    x = 7,957.27

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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.