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Finding the Fourth Proportional to 7,735.14, 10,672.72 and 5,221.92

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Solution

The fourth proportional to 7,735.14, 10,672.72 and 5,221.92 is: 7,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.14 : 10,672.72 = 5,221.92 : x
  2. Step 2: Convert to fraction form
    7,735.14/10,672.72 = 5,221.92/x
  3. Step 3: Cross multiply
    7,735.14x = 10,672.72 × 5,221.92
  4. Step 4: Simplify right side
    7,735.14x = 55,732,090.02
  5. Step 5: Solve for x
    x = 55,732,090.02/7,735.14
  6. Step 6: Final answer
    x = 7,205.05

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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.