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Finding the Fourth Proportional to 10,452.94, 15,682.34 and 4,452.04

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Solution

The fourth proportional to 10,452.94, 15,682.34 and 4,452.04 is: 6,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.94 : 15,682.34 = 4,452.04 : x
  2. Step 2: Convert to fraction form
    10,452.94/15,682.34 = 4,452.04/x
  3. Step 3: Cross multiply
    10,452.94x = 15,682.34 × 4,452.04
  4. Step 4: Simplify right side
    10,452.94x = 69,818,404.97
  5. Step 5: Solve for x
    x = 69,818,404.97/10,452.94
  6. Step 6: Final answer
    x = 6,679.31

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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.