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Finding the Fourth Proportional to 10,805.46, 16,208.18 and 4,230.82

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Solution

The fourth proportional to 10,805.46, 16,208.18 and 4,230.82 is: 6,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.46 : 16,208.18 = 4,230.82 : x
  2. Step 2: Convert to fraction form
    10,805.46/16,208.18 = 4,230.82/x
  3. Step 3: Cross multiply
    10,805.46x = 16,208.18 × 4,230.82
  4. Step 4: Simplify right side
    10,805.46x = 68,573,892.11
  5. Step 5: Solve for x
    x = 68,573,892.11/10,805.46
  6. Step 6: Final answer
    x = 6,346.23

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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.