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Finding the Fourth Proportional to 7,725.42, 10,661.04 and 4,188.69

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Solution

The fourth proportional to 7,725.42, 10,661.04 and 4,188.69 is: 5,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.42 : 10,661.04 = 4,188.69 : x
  2. Step 2: Convert to fraction form
    7,725.42/10,661.04 = 4,188.69/x
  3. Step 3: Cross multiply
    7,725.42x = 10,661.04 × 4,188.69
  4. Step 4: Simplify right side
    7,725.42x = 44,655,791.64
  5. Step 5: Solve for x
    x = 44,655,791.64/7,725.42
  6. Step 6: Final answer
    x = 5,780.37

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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.