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Finding the Fourth Proportional to 10,452.75, 15,736.15 and 9,534.21

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Solution

The fourth proportional to 10,452.75, 15,736.15 and 9,534.21 is: 14,353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.75 : 15,736.15 = 9,534.21 : x
  2. Step 2: Convert to fraction form
    10,452.75/15,736.15 = 9,534.21/x
  3. Step 3: Cross multiply
    10,452.75x = 15,736.15 × 9,534.21
  4. Step 4: Simplify right side
    10,452.75x = 150,031,758.69
  5. Step 5: Solve for x
    x = 150,031,758.69/10,452.75
  6. Step 6: Final answer
    x = 14,353.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.