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Finding the Fourth Proportional to 10,615.68, 15,923.50 and 2,824.49

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Solution

The fourth proportional to 10,615.68, 15,923.50 and 2,824.49 is: 4,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.68 : 15,923.50 = 2,824.49 : x
  2. Step 2: Convert to fraction form
    10,615.68/15,923.50 = 2,824.49/x
  3. Step 3: Cross multiply
    10,615.68x = 15,923.50 × 2,824.49
  4. Step 4: Simplify right side
    10,615.68x = 44,975,799.26
  5. Step 5: Solve for x
    x = 44,975,799.26/10,615.68
  6. Step 6: Final answer
    x = 4,236.73

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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.