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Finding the Fourth Proportional to 10,805.12, 16,195.80 and 4,230.08

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Solution

The fourth proportional to 10,805.12, 16,195.80 and 4,230.08 is: 6,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.12 : 16,195.80 = 4,230.08 : x
  2. Step 2: Convert to fraction form
    10,805.12/16,195.80 = 4,230.08/x
  3. Step 3: Cross multiply
    10,805.12x = 16,195.80 × 4,230.08
  4. Step 4: Simplify right side
    10,805.12x = 68,509,529.66
  5. Step 5: Solve for x
    x = 68,509,529.66/10,805.12
  6. Step 6: Final answer
    x = 6,340.47

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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.