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Finding the Fourth Proportional to 11,708.90, 17,562.20 and 6,442.17

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Solution

The fourth proportional to 11,708.90, 17,562.20 and 6,442.17 is: 9,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.90 : 17,562.20 = 6,442.17 : x
  2. Step 2: Convert to fraction form
    11,708.90/17,562.20 = 6,442.17/x
  3. Step 3: Cross multiply
    11,708.90x = 17,562.20 × 6,442.17
  4. Step 4: Simplify right side
    11,708.90x = 113,138,791.50
  5. Step 5: Solve for x
    x = 113,138,791.50/11,708.90
  6. Step 6: Final answer
    x = 9,662.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.