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Finding the Fourth Proportional to 7,886.38, 11,832.28 and 3,506.90

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Solution

The fourth proportional to 7,886.38, 11,832.28 and 3,506.90 is: 5,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.38 : 11,832.28 = 3,506.90 : x
  2. Step 2: Convert to fraction form
    7,886.38/11,832.28 = 3,506.90/x
  3. Step 3: Cross multiply
    7,886.38x = 11,832.28 × 3,506.90
  4. Step 4: Simplify right side
    7,886.38x = 41,494,622.73
  5. Step 5: Solve for x
    x = 41,494,622.73/7,886.38
  6. Step 6: Final answer
    x = 5,261.56

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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.