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Finding the Fourth Proportional to 7,725.65, 10,661.42 and 4,188.85

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Solution

The fourth proportional to 7,725.65, 10,661.42 and 4,188.85 is: 5,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.65 : 10,661.42 = 4,188.85 : x
  2. Step 2: Convert to fraction form
    7,725.65/10,661.42 = 4,188.85/x
  3. Step 3: Cross multiply
    7,725.65x = 10,661.42 × 4,188.85
  4. Step 4: Simplify right side
    7,725.65x = 44,659,014.92
  5. Step 5: Solve for x
    x = 44,659,014.92/7,725.65
  6. Step 6: Final answer
    x = 5,780.62

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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.