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Finding the Fourth Proportional to 10,329.53, 15,469.65 and 5,642.54

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Solution

The fourth proportional to 10,329.53, 15,469.65 and 5,642.54 is: 8,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.53 : 15,469.65 = 5,642.54 : x
  2. Step 2: Convert to fraction form
    10,329.53/15,469.65 = 5,642.54/x
  3. Step 3: Cross multiply
    10,329.53x = 15,469.65 × 5,642.54
  4. Step 4: Simplify right side
    10,329.53x = 87,288,041.56
  5. Step 5: Solve for x
    x = 87,288,041.56/10,329.53
  6. Step 6: Final answer
    x = 8,450.34

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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.