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Finding the Fourth Proportional to 10,820.56, 16,234.72 and 4,251.22

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Solution

The fourth proportional to 10,820.56, 16,234.72 and 4,251.22 is: 6,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.56 : 16,234.72 = 4,251.22 : x
  2. Step 2: Convert to fraction form
    10,820.56/16,234.72 = 4,251.22/x
  3. Step 3: Cross multiply
    10,820.56x = 16,234.72 × 4,251.22
  4. Step 4: Simplify right side
    10,820.56x = 69,017,366.36
  5. Step 5: Solve for x
    x = 69,017,366.36/10,820.56
  6. Step 6: Final answer
    x = 6,378.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.