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Finding the Fourth Proportional to 10,019.21, 13,821.85 and 6,483.56

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Solution

The fourth proportional to 10,019.21, 13,821.85 and 6,483.56 is: 8,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.21 : 13,821.85 = 6,483.56 : x
  2. Step 2: Convert to fraction form
    10,019.21/13,821.85 = 6,483.56/x
  3. Step 3: Cross multiply
    10,019.21x = 13,821.85 × 6,483.56
  4. Step 4: Simplify right side
    10,019.21x = 89,614,793.79
  5. Step 5: Solve for x
    x = 89,614,793.79/10,019.21
  6. Step 6: Final answer
    x = 8,944.30

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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.