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Finding the Fourth Proportional to 10,221.46, 15,338.10 and 4,297.88

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Solution

The fourth proportional to 10,221.46, 15,338.10 and 4,297.88 is: 6,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.46 : 15,338.10 = 4,297.88 : x
  2. Step 2: Convert to fraction form
    10,221.46/15,338.10 = 4,297.88/x
  3. Step 3: Cross multiply
    10,221.46x = 15,338.10 × 4,297.88
  4. Step 4: Simplify right side
    10,221.46x = 65,921,313.23
  5. Step 5: Solve for x
    x = 65,921,313.23/10,221.46
  6. Step 6: Final answer
    x = 6,449.31

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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.