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Finding the Fourth Proportional to 11,622.78, 17,442.81 and 6,438.78

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Solution

The fourth proportional to 11,622.78, 17,442.81 and 6,438.78 is: 9,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.78 : 17,442.81 = 6,438.78 : x
  2. Step 2: Convert to fraction form
    11,622.78/17,442.81 = 6,438.78/x
  3. Step 3: Cross multiply
    11,622.78x = 17,442.81 × 6,438.78
  4. Step 4: Simplify right side
    11,622.78x = 112,310,416.17
  5. Step 5: Solve for x
    x = 112,310,416.17/11,622.78
  6. Step 6: Final answer
    x = 9,662.96

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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.