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Finding the Fourth Proportional to 11,212.56, 16,830.72 and 6,286.32

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Solution

The fourth proportional to 11,212.56, 16,830.72 and 6,286.32 is: 9,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212.56 : 16,830.72 = 6,286.32 : x
  2. Step 2: Convert to fraction form
    11,212.56/16,830.72 = 6,286.32/x
  3. Step 3: Cross multiply
    11,212.56x = 16,830.72 × 6,286.32
  4. Step 4: Simplify right side
    11,212.56x = 105,803,291.75
  5. Step 5: Solve for x
    x = 105,803,291.75/11,212.56
  6. Step 6: Final answer
    x = 9,436.14

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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.