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Finding the Fourth Proportional to 10,390.56, 14,336.64 and 6,198

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Solution

The fourth proportional to 10,390.56, 14,336.64 and 6,198 is: 8,551.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.56 : 14,336.64 = 6,198 : x
  2. Step 2: Convert to fraction form
    10,390.56/14,336.64 = 6,198/x
  3. Step 3: Cross multiply
    10,390.56x = 14,336.64 × 6,198
  4. Step 4: Simplify right side
    10,390.56x = 88,858,494.72
  5. Step 5: Solve for x
    x = 88,858,494.72/10,390.56
  6. Step 6: Final answer
    x = 8,551.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.