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Finding the Fourth Proportional to 7,507.94, 11,265.92 and 4,221.27

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Solution

The fourth proportional to 7,507.94, 11,265.92 and 4,221.27 is: 6,334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.94 : 11,265.92 = 4,221.27 : x
  2. Step 2: Convert to fraction form
    7,507.94/11,265.92 = 4,221.27/x
  3. Step 3: Cross multiply
    7,507.94x = 11,265.92 × 4,221.27
  4. Step 4: Simplify right side
    7,507.94x = 47,556,469.01
  5. Step 5: Solve for x
    x = 47,556,469.01/7,507.94
  6. Step 6: Final answer
    x = 6,334.16

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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.