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Finding the Fourth Proportional to 10,450.13, 15,675.19 and 3,524.63

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Solution

The fourth proportional to 10,450.13, 15,675.19 and 3,524.63 is: 5,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.13 : 15,675.19 = 3,524.63 : x
  2. Step 2: Convert to fraction form
    10,450.13/15,675.19 = 3,524.63/x
  3. Step 3: Cross multiply
    10,450.13x = 15,675.19 × 3,524.63
  4. Step 4: Simplify right side
    10,450.13x = 55,249,157.74
  5. Step 5: Solve for x
    x = 55,249,157.74/10,450.13
  6. Step 6: Final answer
    x = 5,286.94

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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.