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Finding the Fourth Proportional to 10,728.75, 16,095.20 and 5,185.92

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Solution

The fourth proportional to 10,728.75, 16,095.20 and 5,185.92 is: 7,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.75 : 16,095.20 = 5,185.92 : x
  2. Step 2: Convert to fraction form
    10,728.75/16,095.20 = 5,185.92/x
  3. Step 3: Cross multiply
    10,728.75x = 16,095.20 × 5,185.92
  4. Step 4: Simplify right side
    10,728.75x = 83,468,393.65
  5. Step 5: Solve for x
    x = 83,468,393.65/10,728.75
  6. Step 6: Final answer
    x = 7,779.88

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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.