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Finding the Fourth Proportional to 10,546.14, 15,813.90 and 3,523.68

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Solution

The fourth proportional to 10,546.14, 15,813.90 and 3,523.68 is: 5,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.14 : 15,813.90 = 3,523.68 : x
  2. Step 2: Convert to fraction form
    10,546.14/15,813.90 = 3,523.68/x
  3. Step 3: Cross multiply
    10,546.14x = 15,813.90 × 3,523.68
  4. Step 4: Simplify right side
    10,546.14x = 55,723,123.15
  5. Step 5: Solve for x
    x = 55,723,123.15/10,546.14
  6. Step 6: Final answer
    x = 5,283.75

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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.