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Finding the Fourth Proportional to 10,493.16, 15,735.64 and 4,251.56

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Solution

The fourth proportional to 10,493.16, 15,735.64 and 4,251.56 is: 6,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.16 : 15,735.64 = 4,251.56 : x
  2. Step 2: Convert to fraction form
    10,493.16/15,735.64 = 4,251.56/x
  3. Step 3: Cross multiply
    10,493.16x = 15,735.64 × 4,251.56
  4. Step 4: Simplify right side
    10,493.16x = 66,901,017.60
  5. Step 5: Solve for x
    x = 66,901,017.60/10,493.16
  6. Step 6: Final answer
    x = 6,375.68

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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.